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Finding the Fourth Proportional to 422,134.92, 582,559.38 and 231,166.44

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Solution

The fourth proportional to 422,134.92, 582,559.38 and 231,166.44 is: 319,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,134.92 : 582,559.38 = 231,166.44 : x
  2. Step 2: Convert to fraction form
    422,134.92/582,559.38 = 231,166.44/x
  3. Step 3: Cross multiply
    422,134.92x = 582,559.38 × 231,166.44
  4. Step 4: Simplify right side
    422,134.92x = 134,668,177,963.21
  5. Step 5: Solve for x
    x = 134,668,177,963.21/422,134.92
  6. Step 6: Final answer
    x = 319,016.91

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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.