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Finding the Fourth Proportional to 363,827.92, 502,097.60 and 202,682.88

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Solution

The fourth proportional to 363,827.92, 502,097.60 and 202,682.88 is: 279,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,827.92 : 502,097.60 = 202,682.88 : x
  2. Step 2: Convert to fraction form
    363,827.92/502,097.60 = 202,682.88/x
  3. Step 3: Cross multiply
    363,827.92x = 502,097.60 × 202,682.88
  4. Step 4: Simplify right side
    363,827.92x = 101,766,587,609.09
  5. Step 5: Solve for x
    x = 101,766,587,609.09/363,827.92
  6. Step 6: Final answer
    x = 279,710.77

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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.