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Finding the Fourth Proportional to 278,319.17, 417,495.61 and 78,654.50

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Solution

The fourth proportional to 278,319.17, 417,495.61 and 78,654.50 is: 117,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,319.17 : 417,495.61 = 78,654.50 : x
  2. Step 2: Convert to fraction form
    278,319.17/417,495.61 = 78,654.50/x
  3. Step 3: Cross multiply
    278,319.17x = 417,495.61 × 78,654.50
  4. Step 4: Simplify right side
    278,319.17x = 32,837,908,456.75
  5. Step 5: Solve for x
    x = 32,837,908,456.75/278,319.17
  6. Step 6: Final answer
    x = 117,986.51

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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.