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Finding the Fourth Proportional to 361,377.72, 498,729.69 and 200,248.20

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Solution

The fourth proportional to 361,377.72, 498,729.69 and 200,248.20 is: 276,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,377.72 : 498,729.69 = 200,248.20 : x
  2. Step 2: Convert to fraction form
    361,377.72/498,729.69 = 200,248.20/x
  3. Step 3: Cross multiply
    361,377.72x = 498,729.69 × 200,248.20
  4. Step 4: Simplify right side
    361,377.72x = 99,869,722,709.06
  5. Step 5: Solve for x
    x = 99,869,722,709.06/361,377.72
  6. Step 6: Final answer
    x = 276,358.27

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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.