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Finding the Fourth Proportional to 276,511.80, 414,589.14 and 151,819.32

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Solution

The fourth proportional to 276,511.80, 414,589.14 and 151,819.32 is: 227,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,511.80 : 414,589.14 = 151,819.32 : x
  2. Step 2: Convert to fraction form
    276,511.80/414,589.14 = 151,819.32/x
  3. Step 3: Cross multiply
    276,511.80x = 414,589.14 × 151,819.32
  4. Step 4: Simplify right side
    276,511.80x = 62,942,641,314.18
  5. Step 5: Solve for x
    x = 62,942,641,314.18/276,511.80
  6. Step 6: Final answer
    x = 227,630.94

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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.