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Finding the Fourth Proportional to 422,382.69, 633,576.18 and 106,839.90

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Solution

The fourth proportional to 422,382.69, 633,576.18 and 106,839.90 is: 160,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.69 : 633,576.18 = 106,839.90 : x
  2. Step 2: Convert to fraction form
    422,382.69/633,576.18 = 106,839.90/x
  3. Step 3: Cross multiply
    422,382.69x = 633,576.18 × 106,839.90
  4. Step 4: Simplify right side
    422,382.69x = 67,691,215,179.38
  5. Step 5: Solve for x
    x = 67,691,215,179.38/422,382.69
  6. Step 6: Final answer
    x = 160,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.