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Finding the Fourth Proportional to 415,194.68, 573,061.92 and 271,871.48

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Solution

The fourth proportional to 415,194.68, 573,061.92 and 271,871.48 is: 375,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,194.68 : 573,061.92 = 271,871.48 : x
  2. Step 2: Convert to fraction form
    415,194.68/573,061.92 = 271,871.48/x
  3. Step 3: Cross multiply
    415,194.68x = 573,061.92 × 271,871.48
  4. Step 4: Simplify right side
    415,194.68x = 155,799,192,322.04
  5. Step 5: Solve for x
    x = 155,799,192,322.04/415,194.68
  6. Step 6: Final answer
    x = 375,243.71

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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.