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Finding the Fourth Proportional to 338,842.44, 467,567.89 and 202,872.85

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Solution

The fourth proportional to 338,842.44, 467,567.89 and 202,872.85 is: 279,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,842.44 : 467,567.89 = 202,872.85 : x
  2. Step 2: Convert to fraction form
    338,842.44/467,567.89 = 202,872.85/x
  3. Step 3: Cross multiply
    338,842.44x = 467,567.89 × 202,872.85
  4. Step 4: Simplify right side
    338,842.44x = 94,856,832,507.91
  5. Step 5: Solve for x
    x = 94,856,832,507.91/338,842.44
  6. Step 6: Final answer
    x = 279,943.78

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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.