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Finding the Fourth Proportional to 422,344.25, 582,835.17 and 231,364.43

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Solution

The fourth proportional to 422,344.25, 582,835.17 and 231,364.43 is: 319,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,344.25 : 582,835.17 = 231,364.43 : x
  2. Step 2: Convert to fraction form
    422,344.25/582,835.17 = 231,364.43/x
  3. Step 3: Cross multiply
    422,344.25x = 582,835.17 × 231,364.43
  4. Step 4: Simplify right side
    422,344.25x = 134,847,323,976.83
  5. Step 5: Solve for x
    x = 134,847,323,976.83/422,344.25
  6. Step 6: Final answer
    x = 319,282.97

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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.