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Finding the Fourth Proportional to 498,194.13, 747,689.72 and 261,676.29

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Solution

The fourth proportional to 498,194.13, 747,689.72 and 261,676.29 is: 392,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,194.13 : 747,689.72 = 261,676.29 : x
  2. Step 2: Convert to fraction form
    498,194.13/747,689.72 = 261,676.29/x
  3. Step 3: Cross multiply
    498,194.13x = 747,689.72 × 261,676.29
  4. Step 4: Simplify right side
    498,194.13x = 195,652,670,692.36
  5. Step 5: Solve for x
    x = 195,652,670,692.36/498,194.13
  6. Step 6: Final answer
    x = 392,723.76

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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.