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Finding the Fourth Proportional to 363,942.98, 502,234.52 and 202,794.59

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Solution

The fourth proportional to 363,942.98, 502,234.52 and 202,794.59 is: 279,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,942.98 : 502,234.52 = 202,794.59 : x
  2. Step 2: Convert to fraction form
    363,942.98/502,234.52 = 202,794.59/x
  3. Step 3: Cross multiply
    363,942.98x = 502,234.52 × 202,794.59
  4. Step 4: Simplify right side
    363,942.98x = 101,850,443,567.25
  5. Step 5: Solve for x
    x = 101,850,443,567.25/363,942.98
  6. Step 6: Final answer
    x = 279,852.75

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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.