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Finding the Fourth Proportional to 363,898, 502,188.96 and 202,759.84

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Solution

The fourth proportional to 363,898, 502,188.96 and 202,759.84 is: 279,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,898 : 502,188.96 = 202,759.84 : x
  2. Step 2: Convert to fraction form
    363,898/502,188.96 = 202,759.84/x
  3. Step 3: Cross multiply
    363,898x = 502,188.96 × 202,759.84
  4. Step 4: Simplify right side
    363,898x = 101,823,753,179.37
  5. Step 5: Solve for x
    x = 101,823,753,179.37/363,898
  6. Step 6: Final answer
    x = 279,814.00

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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.