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Finding the Fourth Proportional to 422,166.20, 582,571.86 and 231,176.30

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Solution

The fourth proportional to 422,166.20, 582,571.86 and 231,176.30 is: 319,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.20 : 582,571.86 = 231,176.30 : x
  2. Step 2: Convert to fraction form
    422,166.20/582,571.86 = 231,176.30/x
  3. Step 3: Cross multiply
    422,166.20x = 582,571.86 × 231,176.30
  4. Step 4: Simplify right side
    422,166.20x = 134,676,807,078.92
  5. Step 5: Solve for x
    x = 134,676,807,078.92/422,166.20
  6. Step 6: Final answer
    x = 319,013.71

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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.