Determine the maximum$30-$year fixed$-$rate mortgage amount for which a couple could qualify if the rate is $4\mathrm{.}66$ percent. Assume they have other debt payments totaling $$$$322$ per month and a combined annual income of $$$$51$ comma $000.$ Monthly escrow payments for real estate taxes and$$ homeowner's insurance are estimated to be $$$$267.($Assume a $36$ percent maximum of annual income for total debt and escrow$$ payments.$)$