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Finding the Fourth Proportional to 278,999.10, 418,514.85 and 79,334.10

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Solution

The fourth proportional to 278,999.10, 418,514.85 and 79,334.10 is: 119,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,999.10 : 418,514.85 = 79,334.10 : x
  2. Step 2: Convert to fraction form
    278,999.10/418,514.85 = 79,334.10/x
  3. Step 3: Cross multiply
    278,999.10x = 418,514.85 × 79,334.10
  4. Step 4: Simplify right side
    278,999.10x = 33,202,498,961.39
  5. Step 5: Solve for x
    x = 33,202,498,961.39/278,999.10
  6. Step 6: Final answer
    x = 119,005.76

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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.