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Finding the Fourth Proportional to 492,092.10, 738,138.15 and 429,884.10

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Solution

The fourth proportional to 492,092.10, 738,138.15 and 429,884.10 is: 644,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,092.10 : 738,138.15 = 429,884.10 : x
  2. Step 2: Convert to fraction form
    492,092.10/738,138.15 = 429,884.10/x
  3. Step 3: Cross multiply
    492,092.10x = 738,138.15 × 429,884.10
  4. Step 4: Simplify right side
    492,092.10x = 317,313,854,288.42
  5. Step 5: Solve for x
    x = 317,313,854,288.42/492,092.10
  6. Step 6: Final answer
    x = 644,826.15

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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.