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Finding the Fourth Proportional to 539,763.20, 809,126.40 and 419,753.60

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Solution

The fourth proportional to 539,763.20, 809,126.40 and 419,753.60 is: 629,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,763.20 : 809,126.40 = 419,753.60 : x
  2. Step 2: Convert to fraction form
    539,763.20/809,126.40 = 419,753.60/x
  3. Step 3: Cross multiply
    539,763.20x = 809,126.40 × 419,753.60
  4. Step 4: Simplify right side
    539,763.20x = 339,633,719,255.04
  5. Step 5: Solve for x
    x = 339,633,719,255.04/539,763.20
  6. Step 6: Final answer
    x = 629,227.26

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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.