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Finding the Fourth Proportional to 415,677.93, 573,635.30 and 224,691.32

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Solution

The fourth proportional to 415,677.93, 573,635.30 and 224,691.32 is: 310,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,677.93 : 573,635.30 = 224,691.32 : x
  2. Step 2: Convert to fraction form
    415,677.93/573,635.30 = 224,691.32/x
  3. Step 3: Cross multiply
    415,677.93x = 573,635.30 × 224,691.32
  4. Step 4: Simplify right side
    415,677.93x = 128,890,871,632.14
  5. Step 5: Solve for x
    x = 128,890,871,632.14/415,677.93
  6. Step 6: Final answer
    x = 310,073.89

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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.