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Finding the Fourth Proportional to 363,905.75, 502,193.31 and 200,568.08

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Solution

The fourth proportional to 363,905.75, 502,193.31 and 200,568.08 is: 276,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,905.75 : 502,193.31 = 200,568.08 : x
  2. Step 2: Convert to fraction form
    363,905.75/502,193.31 = 200,568.08/x
  3. Step 3: Cross multiply
    363,905.75x = 502,193.31 × 200,568.08
  4. Step 4: Simplify right side
    363,905.75x = 100,723,945,464.58
  5. Step 5: Solve for x
    x = 100,723,945,464.58/363,905.75
  6. Step 6: Final answer
    x = 276,785.81

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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.