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Finding the Fourth Proportional to 436,752.30, 654,906.90 and 199,892.10

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Solution

The fourth proportional to 436,752.30, 654,906.90 and 199,892.10 is: 299,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,752.30 : 654,906.90 = 199,892.10 : x
  2. Step 2: Convert to fraction form
    436,752.30/654,906.90 = 199,892.10/x
  3. Step 3: Cross multiply
    436,752.30x = 654,906.90 × 199,892.10
  4. Step 4: Simplify right side
    436,752.30x = 130,910,715,545.49
  5. Step 5: Solve for x
    x = 130,910,715,545.49/436,752.30
  6. Step 6: Final answer
    x = 299,736.75

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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.