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Finding the Fourth Proportional to 363,836.34, 502,094.43 and 202,691.77

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Solution

The fourth proportional to 363,836.34, 502,094.43 and 202,691.77 is: 279,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,836.34 : 502,094.43 = 202,691.77 : x
  2. Step 2: Convert to fraction form
    363,836.34/502,094.43 = 202,691.77/x
  3. Step 3: Cross multiply
    363,836.34x = 502,094.43 × 202,691.77
  4. Step 4: Simplify right side
    363,836.34x = 101,770,407,468.61
  5. Step 5: Solve for x
    x = 101,770,407,468.61/363,836.34
  6. Step 6: Final answer
    x = 279,714.80

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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.