As you have phrased it, the question can be understood in two ways.
- The population size at t+1 is 350, after births, deaths and migration have taken place.
- The population size is 350 after deaths, but you also have to take births and migration into account to calculate population size at t+1
For alternative 1 the growth rate is:
$pgr = \frac{(230+21)-(488+13)}{600} = -0.417$,
with $\Delta N=-250 \Rightarrow -250 = 230+21-deaths-13$
For alternative 2 the growth rate is:
$pgr = \frac{(230+21)-(250+13)}{600} = -0.02$
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