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Finding the Fourth Proportional to 363,963.62, 502,298.71 and 200,649.15

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Solution

The fourth proportional to 363,963.62, 502,298.71 and 200,649.15 is: 276,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,963.62 : 502,298.71 = 200,649.15 : x
  2. Step 2: Convert to fraction form
    363,963.62/502,298.71 = 200,649.15/x
  3. Step 3: Cross multiply
    363,963.62x = 502,298.71 × 200,649.15
  4. Step 4: Simplify right side
    363,963.62x = 100,785,806,571.54
  5. Step 5: Solve for x
    x = 100,785,806,571.54/363,963.62
  6. Step 6: Final answer
    x = 276,911.76

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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.