Finding the Fourth Proportional to 296,014.24, 408,493.56 and 161,878.24
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Solution
The fourth proportional to 296,014.24, 408,493.56 and 161,878.24 is: 223,388.64
Step by Step Solution
- Step 1: Write the proportion equation
296,014.24 : 408,493.56 = 161,878.24 : x - Step 2: Convert to fraction form
296,014.24/408,493.56 = 161,878.24/x - Step 3: Cross multiply
296,014.24x = 408,493.56 × 161,878.24 - Step 4: Simplify right side
296,014.24x = 66,126,218,544.13 - Step 5: Solve for x
x = 66,126,218,544.13/296,014.24 - Step 6: Final answer
x = 223,388.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.