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Finding the Fourth Proportional to 363,908.75, 502,197.45 and 200,571.08

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Solution

The fourth proportional to 363,908.75, 502,197.45 and 200,571.08 is: 276,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,908.75 : 502,197.45 = 200,571.08 : x
  2. Step 2: Convert to fraction form
    363,908.75/502,197.45 = 200,571.08/x
  3. Step 3: Cross multiply
    363,908.75x = 502,197.45 × 200,571.08
  4. Step 4: Simplify right side
    363,908.75x = 100,726,284,919.75
  5. Step 5: Solve for x
    x = 100,726,284,919.75/363,908.75
  6. Step 6: Final answer
    x = 276,789.95

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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.