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Finding the Fourth Proportional to 422,052.97, 582,434.81 and 231,084.13

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Solution

The fourth proportional to 422,052.97, 582,434.81 and 231,084.13 is: 318,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,052.97 : 582,434.81 = 231,084.13 : x
  2. Step 2: Convert to fraction form
    422,052.97/582,434.81 = 231,084.13/x
  3. Step 3: Cross multiply
    422,052.97x = 582,434.81 × 231,084.13
  4. Step 4: Simplify right side
    422,052.97x = 134,591,441,350.57
  5. Step 5: Solve for x
    x = 134,591,441,350.57/422,052.97
  6. Step 6: Final answer
    x = 318,897.04

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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.