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Finding the Fourth Proportional to 664,810.80, 996,568.20 and 380,209.20

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Solution

The fourth proportional to 664,810.80, 996,568.20 and 380,209.20 is: 569,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,810.80 : 996,568.20 = 380,209.20 : x
  2. Step 2: Convert to fraction form
    664,810.80/996,568.20 = 380,209.20/x
  3. Step 3: Cross multiply
    664,810.80x = 996,568.20 × 380,209.20
  4. Step 4: Simplify right side
    664,810.80x = 378,904,398,067.44
  5. Step 5: Solve for x
    x = 378,904,398,067.44/664,810.80
  6. Step 6: Final answer
    x = 569,943.20

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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.