Finding the Fourth Proportional to 299,731.47, 413,624.61 and 163,762.50
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Solution
The fourth proportional to 299,731.47, 413,624.61 and 163,762.50 is: 225,989.62
Step by Step Solution
- Step 1: Write the proportion equation
299,731.47 : 413,624.61 = 163,762.50 : x - Step 2: Convert to fraction form
299,731.47/413,624.61 = 163,762.50/x - Step 3: Cross multiply
299,731.47x = 413,624.61 × 163,762.50 - Step 4: Simplify right side
299,731.47x = 67,736,200,195.13 - Step 5: Solve for x
x = 67,736,200,195.13/299,731.47 - Step 6: Final answer
x = 225,989.62
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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.