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Finding the Fourth Proportional to 279,007.38, 418,379.82 and 194,862.55

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Solution

The fourth proportional to 279,007.38, 418,379.82 and 194,862.55 is: 292,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,007.38 : 418,379.82 = 194,862.55 : x
  2. Step 2: Convert to fraction form
    279,007.38/418,379.82 = 194,862.55/x
  3. Step 3: Cross multiply
    279,007.38x = 418,379.82 × 194,862.55
  4. Step 4: Simplify right side
    279,007.38x = 81,526,557,619.43
  5. Step 5: Solve for x
    x = 81,526,557,619.43/279,007.38
  6. Step 6: Final answer
    x = 292,202.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.