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Finding the Fourth Proportional to 422,217.28, 582,646.80 and 231,225.76

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Solution

The fourth proportional to 422,217.28, 582,646.80 and 231,225.76 is: 319,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,217.28 : 582,646.80 = 231,225.76 : x
  2. Step 2: Convert to fraction form
    422,217.28/582,646.80 = 231,225.76/x
  3. Step 3: Cross multiply
    422,217.28x = 582,646.80 × 231,225.76
  4. Step 4: Simplify right side
    422,217.28x = 134,722,949,141.57
  5. Step 5: Solve for x
    x = 134,722,949,141.57/422,217.28
  6. Step 6: Final answer
    x = 319,084.40

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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.