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Finding the Fourth Proportional to 415,849.92, 573,872.49 and 224,862.86

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Solution

The fourth proportional to 415,849.92, 573,872.49 and 224,862.86 is: 310,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,849.92 : 573,872.49 = 224,862.86 : x
  2. Step 2: Convert to fraction form
    415,849.92/573,872.49 = 224,862.86/x
  3. Step 3: Cross multiply
    415,849.92x = 573,872.49 × 224,862.86
  4. Step 4: Simplify right side
    415,849.92x = 129,042,606,507.36
  5. Step 5: Solve for x
    x = 129,042,606,507.36/415,849.92
  6. Step 6: Final answer
    x = 310,310.52

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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.