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Finding the Fourth Proportional to 415,934.13, 573,989.49 and 224,947.52

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Solution

The fourth proportional to 415,934.13, 573,989.49 and 224,947.52 is: 310,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,934.13 : 573,989.49 = 224,947.52 : x
  2. Step 2: Convert to fraction form
    415,934.13/573,989.49 = 224,947.52/x
  3. Step 3: Cross multiply
    415,934.13x = 573,989.49 × 224,947.52
  4. Step 4: Simplify right side
    415,934.13x = 129,117,509,411.62
  5. Step 5: Solve for x
    x = 129,117,509,411.62/415,934.13
  6. Step 6: Final answer
    x = 310,427.78

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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.