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Finding the Fourth Proportional to 498,363.10, 747,544.65 and 284,911.90

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Solution

The fourth proportional to 498,363.10, 747,544.65 and 284,911.90 is: 427,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,363.10 : 747,544.65 = 284,911.90 : x
  2. Step 2: Convert to fraction form
    498,363.10/747,544.65 = 284,911.90/x
  3. Step 3: Cross multiply
    498,363.10x = 747,544.65 × 284,911.90
  4. Step 4: Simplify right side
    498,363.10x = 212,984,366,566.34
  5. Step 5: Solve for x
    x = 212,984,366,566.34/498,363.10
  6. Step 6: Final answer
    x = 427,367.85

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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.