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Finding the Fourth Proportional to 363,944.54, 502,238.36 and 202,806.38

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Solution

The fourth proportional to 363,944.54, 502,238.36 and 202,806.38 is: 279,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,944.54 : 502,238.36 = 202,806.38 : x
  2. Step 2: Convert to fraction form
    363,944.54/502,238.36 = 202,806.38/x
  3. Step 3: Cross multiply
    363,944.54x = 502,238.36 × 202,806.38
  4. Step 4: Simplify right side
    363,944.54x = 101,857,143,688.74
  5. Step 5: Solve for x
    x = 101,857,143,688.74/363,944.54
  6. Step 6: Final answer
    x = 279,869.96

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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.