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Finding the Fourth Proportional to 422,172.45, 582,580.49 and 231,182.55

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Solution

The fourth proportional to 422,172.45, 582,580.49 and 231,182.55 is: 319,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,172.45 : 582,580.49 = 231,182.55 : x
  2. Step 2: Convert to fraction form
    422,172.45/582,580.49 = 231,182.55/x
  3. Step 3: Cross multiply
    422,172.45x = 582,580.49 × 231,182.55
  4. Step 4: Simplify right side
    422,172.45x = 134,682,442,102.54
  5. Step 5: Solve for x
    x = 134,682,442,102.54/422,172.45
  6. Step 6: Final answer
    x = 319,022.34

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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.