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Finding the Fourth Proportional to 419,691.12, 629,078.52 and 206,605.68

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Solution

The fourth proportional to 419,691.12, 629,078.52 and 206,605.68 is: 309,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,691.12 : 629,078.52 = 206,605.68 : x
  2. Step 2: Convert to fraction form
    419,691.12/629,078.52 = 206,605.68/x
  3. Step 3: Cross multiply
    419,691.12x = 629,078.52 × 206,605.68
  4. Step 4: Simplify right side
    419,691.12x = 129,971,195,397.99
  5. Step 5: Solve for x
    x = 129,971,195,397.99/419,691.12
  6. Step 6: Final answer
    x = 309,682.98

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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.