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Finding the Fourth Proportional to 422,076.35, 582,468.77 and 231,091.31

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Solution

The fourth proportional to 422,076.35, 582,468.77 and 231,091.31 is: 318,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,076.35 : 582,468.77 = 231,091.31 : x
  2. Step 2: Convert to fraction form
    422,076.35/582,468.77 = 231,091.31/x
  3. Step 3: Cross multiply
    422,076.35x = 582,468.77 × 231,091.31
  4. Step 4: Simplify right side
    422,076.35x = 134,603,469,937.93
  5. Step 5: Solve for x
    x = 134,603,469,937.93/422,076.35
  6. Step 6: Final answer
    x = 318,907.87

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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.