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Finding the Fourth Proportional to 498,099.90, 747,508.86 and 198,407.10

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Solution

The fourth proportional to 498,099.90, 747,508.86 and 198,407.10 is: 297,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,099.90 : 747,508.86 = 198,407.10 : x
  2. Step 2: Convert to fraction form
    498,099.90/747,508.86 = 198,407.10/x
  3. Step 3: Cross multiply
    498,099.90x = 747,508.86 × 198,407.10
  4. Step 4: Simplify right side
    498,099.90x = 148,311,065,136.91
  5. Step 5: Solve for x
    x = 148,311,065,136.91/498,099.90
  6. Step 6: Final answer
    x = 297,753.65

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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.