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Finding the Fourth Proportional to 361,006.62, 498,196.20 and 199,857.12

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Solution

The fourth proportional to 361,006.62, 498,196.20 and 199,857.12 is: 275,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,006.62 : 498,196.20 = 199,857.12 : x
  2. Step 2: Convert to fraction form
    361,006.62/498,196.20 = 199,857.12/x
  3. Step 3: Cross multiply
    361,006.62x = 498,196.20 × 199,857.12
  4. Step 4: Simplify right side
    361,006.62x = 99,568,057,726.94
  5. Step 5: Solve for x
    x = 99,568,057,726.94/361,006.62
  6. Step 6: Final answer
    x = 275,806.74

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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.