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Finding the Fourth Proportional to 363,854.02, 502,105.86 and 202,700.74

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Solution

The fourth proportional to 363,854.02, 502,105.86 and 202,700.74 is: 279,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,854.02 : 502,105.86 = 202,700.74 : x
  2. Step 2: Convert to fraction form
    363,854.02/502,105.86 = 202,700.74/x
  3. Step 3: Cross multiply
    363,854.02x = 502,105.86 × 202,700.74
  4. Step 4: Simplify right side
    363,854.02x = 101,777,229,380.34
  5. Step 5: Solve for x
    x = 101,777,229,380.34/363,854.02
  6. Step 6: Final answer
    x = 279,719.95

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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.