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Finding the Fourth Proportional to 363,826.92, 502,096.22 and 202,681.88

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Solution

The fourth proportional to 363,826.92, 502,096.22 and 202,681.88 is: 279,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,826.92 : 502,096.22 = 202,681.88 : x
  2. Step 2: Convert to fraction form
    363,826.92/502,096.22 = 202,681.88/x
  3. Step 3: Cross multiply
    363,826.92x = 502,096.22 × 202,681.88
  4. Step 4: Simplify right side
    363,826.92x = 101,765,805,810.49
  5. Step 5: Solve for x
    x = 101,765,805,810.49/363,826.92
  6. Step 6: Final answer
    x = 279,709.39

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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.