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Finding the Fourth Proportional to 416,414.72, 574,656.90 and 225,432.20

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Solution

The fourth proportional to 416,414.72, 574,656.90 and 225,432.20 is: 311,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,414.72 : 574,656.90 = 225,432.20 : x
  2. Step 2: Convert to fraction form
    416,414.72/574,656.90 = 225,432.20/x
  3. Step 3: Cross multiply
    416,414.72x = 574,656.90 × 225,432.20
  4. Step 4: Simplify right side
    416,414.72x = 129,546,169,212.18
  5. Step 5: Solve for x
    x = 129,546,169,212.18/416,414.72
  6. Step 6: Final answer
    x = 311,098.92

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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.