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Finding the Fourth Proportional to 363,791.40, 502,047.57 and 202,646.49

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Solution

The fourth proportional to 363,791.40, 502,047.57 and 202,646.49 is: 279,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,791.40 : 502,047.57 = 202,646.49 : x
  2. Step 2: Convert to fraction form
    363,791.40/502,047.57 = 202,646.49/x
  3. Step 3: Cross multiply
    363,791.40x = 502,047.57 × 202,646.49
  4. Step 4: Simplify right side
    363,791.40x = 101,738,177,873.53
  5. Step 5: Solve for x
    x = 101,738,177,873.53/363,791.40
  6. Step 6: Final answer
    x = 279,660.76

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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.