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Finding the Fourth Proportional to 422,451.04, 582,982.32 and 231,471.68

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Solution

The fourth proportional to 422,451.04, 582,982.32 and 231,471.68 is: 319,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,451.04 : 582,982.32 = 231,471.68 : x
  2. Step 2: Convert to fraction form
    422,451.04/582,982.32 = 231,471.68/x
  3. Step 3: Cross multiply
    422,451.04x = 582,982.32 × 231,471.68
  4. Step 4: Simplify right side
    422,451.04x = 134,943,897,020.70
  5. Step 5: Solve for x
    x = 134,943,897,020.70/422,451.04
  6. Step 6: Final answer
    x = 319,430.86

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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.