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Finding the Fourth Proportional to 361,922.62, 499,412.94 and 200,737.30

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Solution

The fourth proportional to 361,922.62, 499,412.94 and 200,737.30 is: 276,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,922.62 : 499,412.94 = 200,737.30 : x
  2. Step 2: Convert to fraction form
    361,922.62/499,412.94 = 200,737.30/x
  3. Step 3: Cross multiply
    361,922.62x = 499,412.94 × 200,737.30
  4. Step 4: Simplify right side
    361,922.62x = 100,250,805,160.66
  5. Step 5: Solve for x
    x = 100,250,805,160.66/361,922.62
  6. Step 6: Final answer
    x = 276,995.14

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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.