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Finding the Fourth Proportional to 278,310.24, 414,117.72 and 277,377.12

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Solution

The fourth proportional to 278,310.24, 414,117.72 and 277,377.12 is: 412,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,310.24 : 414,117.72 = 277,377.12 : x
  2. Step 2: Convert to fraction form
    278,310.24/414,117.72 = 277,377.12/x
  3. Step 3: Cross multiply
    278,310.24x = 414,117.72 × 277,377.12
  4. Step 4: Simplify right side
    278,310.24x = 114,866,780,514.57
  5. Step 5: Solve for x
    x = 114,866,780,514.57/278,310.24
  6. Step 6: Final answer
    x = 412,729.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.