I have a GX470 with 92k miles and had the same problem for a while until it wont even stay on for more than 30 seconds. I bought the Relay for $7 replacement of course autozone and problem fixed.
Thank guys you saved me a ton of $$.
You guys made it easy for me to install it my self. Thank you very much. The only question I have is how many volts it should measure since I dont have a trailer yet to test it on.Thanks