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Finding the Fourth Proportional to 284,091.30, 391,691.49 and 181,948.92

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Solution

The fourth proportional to 284,091.30, 391,691.49 and 181,948.92 is: 250,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,091.30 : 391,691.49 = 181,948.92 : x
  2. Step 2: Convert to fraction form
    284,091.30/391,691.49 = 181,948.92/x
  3. Step 3: Cross multiply
    284,091.30x = 391,691.49 × 181,948.92
  4. Step 4: Simplify right side
    284,091.30x = 71,267,843,578.69
  5. Step 5: Solve for x
    x = 71,267,843,578.69/284,091.30
  6. Step 6: Final answer
    x = 250,862.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.