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Finding the Fourth Proportional to 363,766.86, 502,013.75 and 202,621.98

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Solution

The fourth proportional to 363,766.86, 502,013.75 and 202,621.98 is: 279,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,766.86 : 502,013.75 = 202,621.98 : x
  2. Step 2: Convert to fraction form
    363,766.86/502,013.75 = 202,621.98/x
  3. Step 3: Cross multiply
    363,766.86x = 502,013.75 × 202,621.98
  4. Step 4: Simplify right side
    363,766.86x = 101,719,016,995.60
  5. Step 5: Solve for x
    x = 101,719,016,995.60/363,766.86
  6. Step 6: Final answer
    x = 279,626.95

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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.