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Finding the Fourth Proportional to 415,864.47, 573,892.98 and 224,877.87

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Solution

The fourth proportional to 415,864.47, 573,892.98 and 224,877.87 is: 310,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864.47 : 573,892.98 = 224,877.87 : x
  2. Step 2: Convert to fraction form
    415,864.47/573,892.98 = 224,877.87/x
  3. Step 3: Cross multiply
    415,864.47x = 573,892.98 × 224,877.87
  4. Step 4: Simplify right side
    415,864.47x = 129,055,830,950.35
  5. Step 5: Solve for x
    x = 129,055,830,950.35/415,864.47
  6. Step 6: Final answer
    x = 310,331.47

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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.