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Finding the Fourth Proportional to 422,362, 582,874.11 and 231,375.40

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Solution

The fourth proportional to 422,362, 582,874.11 and 231,375.40 is: 319,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,362 : 582,874.11 = 231,375.40 : x
  2. Step 2: Convert to fraction form
    422,362/582,874.11 = 231,375.40/x
  3. Step 3: Cross multiply
    422,362x = 582,874.11 × 231,375.40
  4. Step 4: Simplify right side
    422,362x = 134,862,730,350.89
  5. Step 5: Solve for x
    x = 134,862,730,350.89/422,362
  6. Step 6: Final answer
    x = 319,306.02

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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.