Clock issue with Motorola Razr HD Maxx (stock 4.4.2 firmware)

I have a Verizon Motorola Razr HD Maxx, running the latest firmware (182.46.15.XT926). My phone was dropped and the screen shattered about 6 months ago. The Razr was powered off and left alone while I switched to an older phone until I could find the time and money to get a screen replacement. Having just done so, my phone is now in mostly working order. I can browse on 4G and make/receive test messages and calls. However, the date/time on the phone are completely inaccurate. It is currently reporting the date as 3/15/2015, and the time as 6:52 as of the time of this post (while it is 10:56 AM EST, 5/21/2015 in reality). Manually attempting to change the time does not work - After modifying the time and selecting done, the change does not persist. I do not appear to be the only one with this problem - others have reported it online (see [here](http://forums.androidcentral.com/android-4-4-kitkat/394439-razr-hd-time-date-won-t-update-can-t-connect-google.html) and [here](https://forums.motorola.com/posts/2b9452ac6b) for example), but no solutions have been posted which worked. I am curious if anyone here has input as to a solution. This is a huge impediment for me, since many apps rely on the time and any SSL cert checking will fail due to the incorrect date, preventing access to Google Play.