Assume that you contribute $$150$ per month to a retirement plan for $20$ years. Then you can increase the contribution to $$276$ per month for another $20$ years, and finally, $$426$ per month for the last $10$ years. Given a $6$ percent interest rate, what is the value of your retirement plan after the $50$ years?

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.