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Finding the Fourth Proportional to 363,913.26, 502,203.66 and 200,575.56

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Solution

The fourth proportional to 363,913.26, 502,203.66 and 200,575.56 is: 276,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,913.26 : 502,203.66 = 200,575.56 : x
  2. Step 2: Convert to fraction form
    363,913.26/502,203.66 = 200,575.56/x
  3. Step 3: Cross multiply
    363,913.26x = 502,203.66 × 200,575.56
  4. Step 4: Simplify right side
    363,913.26x = 100,729,780,338.55
  5. Step 5: Solve for x
    x = 100,729,780,338.55/363,913.26
  6. Step 6: Final answer
    x = 276,796.13

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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.