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Finding the Fourth Proportional to 415,932.43, 573,987.13 and 224,945.82

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Solution

The fourth proportional to 415,932.43, 573,987.13 and 224,945.82 is: 310,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932.43 : 573,987.13 = 224,945.82 : x
  2. Step 2: Convert to fraction form
    415,932.43/573,987.13 = 224,945.82/x
  3. Step 3: Cross multiply
    415,932.43x = 573,987.13 × 224,945.82
  4. Step 4: Simplify right side
    415,932.43x = 129,116,007,295.59
  5. Step 5: Solve for x
    x = 129,116,007,295.59/415,932.43
  6. Step 6: Final answer
    x = 310,425.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.