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Finding the Fourth Proportional to 284,561.20, 425,920.20 and 201,617.20

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Solution

The fourth proportional to 284,561.20, 425,920.20 and 201,617.20 is: 301,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,561.20 : 425,920.20 = 201,617.20 : x
  2. Step 2: Convert to fraction form
    284,561.20/425,920.20 = 201,617.20/x
  3. Step 3: Cross multiply
    284,561.20x = 425,920.20 × 201,617.20
  4. Step 4: Simplify right side
    284,561.20x = 85,872,838,147.44
  5. Step 5: Solve for x
    x = 85,872,838,147.44/284,561.20
  6. Step 6: Final answer
    x = 301,772.83

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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.