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Finding the Fourth Proportional to 363,930.83, 502,217.76 and 202,782.44

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Solution

The fourth proportional to 363,930.83, 502,217.76 and 202,782.44 is: 279,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,930.83 : 502,217.76 = 202,782.44 : x
  2. Step 2: Convert to fraction form
    363,930.83/502,217.76 = 202,782.44/x
  3. Step 3: Cross multiply
    363,930.83x = 502,217.76 × 202,782.44
  4. Step 4: Simplify right side
    363,930.83x = 101,840,940,273.05
  5. Step 5: Solve for x
    x = 101,840,940,273.05/363,930.83
  6. Step 6: Final answer
    x = 279,835.98

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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.