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Finding the Fourth Proportional to 539,816.80, 809,744.40 and 165,839.20

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Solution

The fourth proportional to 539,816.80, 809,744.40 and 165,839.20 is: 248,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,816.80 : 809,744.40 = 165,839.20 : x
  2. Step 2: Convert to fraction form
    539,816.80/809,744.40 = 165,839.20/x
  3. Step 3: Cross multiply
    539,816.80x = 809,744.40 × 165,839.20
  4. Step 4: Simplify right side
    539,816.80x = 134,287,363,500.48
  5. Step 5: Solve for x
    x = 134,287,363,500.48/539,816.80
  6. Step 6: Final answer
    x = 248,764.70

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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.