A Multiplicative Identity of Areas in a Triangle

Draw, through point $R$ in the interior of $ABC$, lines $JQ, KM$, and $NP$ parallel to sides $BC, AB$, and $AC$, respectively. 

Let $(Γ)$ denotes the area of shape $Γ$. Then

$(JMR)(PQR)(KNR) = (JNR)(KQR)(MPR)$.

Proof