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Finding the Fourth Proportional to 422,113.72, 582,517.08 and 231,139.21

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Solution

The fourth proportional to 422,113.72, 582,517.08 and 231,139.21 is: 318,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113.72 : 582,517.08 = 231,139.21 : x
  2. Step 2: Convert to fraction form
    422,113.72/582,517.08 = 231,139.21/x
  3. Step 3: Cross multiply
    422,113.72x = 582,517.08 × 231,139.21
  4. Step 4: Simplify right side
    422,113.72x = 134,642,533,614.43
  5. Step 5: Solve for x
    x = 134,642,533,614.43/422,113.72
  6. Step 6: Final answer
    x = 318,972.18

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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.