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Finding the Fourth Proportional to 422,314.72, 582,794.46 and 231,331.24

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Solution

The fourth proportional to 422,314.72, 582,794.46 and 231,331.24 is: 319,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,314.72 : 582,794.46 = 231,331.24 : x
  2. Step 2: Convert to fraction form
    422,314.72/582,794.46 = 231,331.24/x
  3. Step 3: Cross multiply
    422,314.72x = 582,794.46 × 231,331.24
  4. Step 4: Simplify right side
    422,314.72x = 134,818,565,096.93
  5. Step 5: Solve for x
    x = 134,818,565,096.93/422,314.72
  6. Step 6: Final answer
    x = 319,237.19

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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.