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Finding the Fourth Proportional to 411,728.80, 617,593.20 and 384,080.80

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Solution

The fourth proportional to 411,728.80, 617,593.20 and 384,080.80 is: 576,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,728.80 : 617,593.20 = 384,080.80 : x
  2. Step 2: Convert to fraction form
    411,728.80/617,593.20 = 384,080.80/x
  3. Step 3: Cross multiply
    411,728.80x = 617,593.20 × 384,080.80
  4. Step 4: Simplify right side
    411,728.80x = 237,205,690,330.56
  5. Step 5: Solve for x
    x = 237,205,690,330.56/411,728.80
  6. Step 6: Final answer
    x = 576,121.20

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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.