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Finding the Fourth Proportional to 442,816.80, 664,225.20 and 419,488.80

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Solution

The fourth proportional to 442,816.80, 664,225.20 and 419,488.80 is: 629,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,816.80 : 664,225.20 = 419,488.80 : x
  2. Step 2: Convert to fraction form
    442,816.80/664,225.20 = 419,488.80/x
  3. Step 3: Cross multiply
    442,816.80x = 664,225.20 × 419,488.80
  4. Step 4: Simplify right side
    442,816.80x = 278,635,032,077.76
  5. Step 5: Solve for x
    x = 278,635,032,077.76/442,816.80
  6. Step 6: Final answer
    x = 629,233.20

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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.