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Finding the Fourth Proportional to 361,788.27, 499,298.48 and 200,695.22

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Solution

The fourth proportional to 361,788.27, 499,298.48 and 200,695.22 is: 276,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,788.27 : 499,298.48 = 200,695.22 : x
  2. Step 2: Convert to fraction form
    361,788.27/499,298.48 = 200,695.22/x
  3. Step 3: Cross multiply
    361,788.27x = 499,298.48 × 200,695.22
  4. Step 4: Simplify right side
    361,788.27x = 100,206,817,414.27
  5. Step 5: Solve for x
    x = 100,206,817,414.27/361,788.27
  6. Step 6: Final answer
    x = 276,976.41

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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.