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Finding the Fourth Proportional to 412,173.29, 617,454.97 and 284,066.89

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Solution

The fourth proportional to 412,173.29, 617,454.97 and 284,066.89 is: 425,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,173.29 : 617,454.97 = 284,066.89 : x
  2. Step 2: Convert to fraction form
    412,173.29/617,454.97 = 284,066.89/x
  3. Step 3: Cross multiply
    412,173.29x = 617,454.97 × 284,066.89
  4. Step 4: Simplify right side
    412,173.29x = 175,398,513,042.94
  5. Step 5: Solve for x
    x = 175,398,513,042.94/412,173.29
  6. Step 6: Final answer
    x = 425,545.56

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1.5x scale

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.