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Finding the Fourth Proportional to 422,332.92, 582,821.10 and 231,347.64

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Solution

The fourth proportional to 422,332.92, 582,821.10 and 231,347.64 is: 319,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,332.92 : 582,821.10 = 231,347.64 : x
  2. Step 2: Convert to fraction form
    422,332.92/582,821.10 = 231,347.64/x
  3. Step 3: Cross multiply
    422,332.92x = 582,821.10 × 231,347.64
  4. Step 4: Simplify right side
    422,332.92x = 134,834,286,027.20
  5. Step 5: Solve for x
    x = 134,834,286,027.20/422,332.92
  6. Step 6: Final answer
    x = 319,260.66

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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.