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Finding the Fourth Proportional to 278,863.44, 418,296.56 and 68,501.44

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Solution

The fourth proportional to 278,863.44, 418,296.56 and 68,501.44 is: 102,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,863.44 : 418,296.56 = 68,501.44 : x
  2. Step 2: Convert to fraction form
    278,863.44/418,296.56 = 68,501.44/x
  3. Step 3: Cross multiply
    278,863.44x = 418,296.56 × 68,501.44
  4. Step 4: Simplify right side
    278,863.44x = 28,653,916,707.05
  5. Step 5: Solve for x
    x = 28,653,916,707.05/278,863.44
  6. Step 6: Final answer
    x = 102,752.50

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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.