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Finding the Fourth Proportional to 422,115.24, 582,513.25 and 231,128.65

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Solution

The fourth proportional to 422,115.24, 582,513.25 and 231,128.65 is: 318,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,115.24 : 582,513.25 = 231,128.65 : x
  2. Step 2: Convert to fraction form
    422,115.24/582,513.25 = 231,128.65/x
  3. Step 3: Cross multiply
    422,115.24x = 582,513.25 × 231,128.65
  4. Step 4: Simplify right side
    422,115.24x = 134,635,501,079.61
  5. Step 5: Solve for x
    x = 134,635,501,079.61/422,115.24
  6. Step 6: Final answer
    x = 318,954.37

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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.