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Finding the Fourth Proportional to 415,947.64, 574,007.74 and 224,961.02

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Solution

The fourth proportional to 415,947.64, 574,007.74 and 224,961.02 is: 310,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,947.64 : 574,007.74 = 224,961.02 : x
  2. Step 2: Convert to fraction form
    415,947.64/574,007.74 = 224,961.02/x
  3. Step 3: Cross multiply
    415,947.64x = 574,007.74 × 224,961.02
  4. Step 4: Simplify right side
    415,947.64x = 129,129,366,678.30
  5. Step 5: Solve for x
    x = 129,129,366,678.30/415,947.64
  6. Step 6: Final answer
    x = 310,446.21

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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.