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Finding the Fourth Proportional to 276,351.10, 414,964.05 and 209,866.30

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Solution

The fourth proportional to 276,351.10, 414,964.05 and 209,866.30 is: 315,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,351.10 : 414,964.05 = 209,866.30 : x
  2. Step 2: Convert to fraction form
    276,351.10/414,964.05 = 209,866.30/x
  3. Step 3: Cross multiply
    276,351.10x = 414,964.05 × 209,866.30
  4. Step 4: Simplify right side
    276,351.10x = 87,086,969,806.52
  5. Step 5: Solve for x
    x = 87,086,969,806.52/276,351.10
  6. Step 6: Final answer
    x = 315,131.62

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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.