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Finding the Fourth Proportional to 419,898.20, 629,847.30 and 404,151.80

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Solution

The fourth proportional to 419,898.20, 629,847.30 and 404,151.80 is: 606,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,898.20 : 629,847.30 = 404,151.80 : x
  2. Step 2: Convert to fraction form
    419,898.20/629,847.30 = 404,151.80/x
  3. Step 3: Cross multiply
    419,898.20x = 629,847.30 × 404,151.80
  4. Step 4: Simplify right side
    419,898.20x = 254,553,920,020.14
  5. Step 5: Solve for x
    x = 254,553,920,020.14/419,898.20
  6. Step 6: Final answer
    x = 606,227.70

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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.