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Finding the Fourth Proportional to 422,294.54, 582,766.56 and 231,314.78

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Solution

The fourth proportional to 422,294.54, 582,766.56 and 231,314.78 is: 319,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,294.54 : 582,766.56 = 231,314.78 : x
  2. Step 2: Convert to fraction form
    422,294.54/582,766.56 = 231,314.78/x
  3. Step 3: Cross multiply
    422,294.54x = 582,766.56 × 231,314.78
  4. Step 4: Simplify right side
    422,294.54x = 134,802,518,617.76
  5. Step 5: Solve for x
    x = 134,802,518,617.76/422,294.54
  6. Step 6: Final answer
    x = 319,214.45

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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.