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Finding the Fourth Proportional to 484,086.80, 726,821.40 and 274,134.80

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Solution

The fourth proportional to 484,086.80, 726,821.40 and 274,134.80 is: 411,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,086.80 : 726,821.40 = 274,134.80 : x
  2. Step 2: Convert to fraction form
    484,086.80/726,821.40 = 274,134.80/x
  3. Step 3: Cross multiply
    484,086.80x = 726,821.40 × 274,134.80
  4. Step 4: Simplify right side
    484,086.80x = 199,247,039,124.72
  5. Step 5: Solve for x
    x = 199,247,039,124.72/484,086.80
  6. Step 6: Final answer
    x = 411,593.62

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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.