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Finding the Fourth Proportional to 278,275.50, 417,414.42 and 118,310.22

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Solution

The fourth proportional to 278,275.50, 417,414.42 and 118,310.22 is: 177,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,275.50 : 417,414.42 = 118,310.22 : x
  2. Step 2: Convert to fraction form
    278,275.50/417,414.42 = 118,310.22/x
  3. Step 3: Cross multiply
    278,275.50x = 417,414.42 × 118,310.22
  4. Step 4: Simplify right side
    278,275.50x = 49,384,391,861.37
  5. Step 5: Solve for x
    x = 49,384,391,861.37/278,275.50
  6. Step 6: Final answer
    x = 177,465.83

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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.