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Finding the Fourth Proportional to 276,282.20, 414,423.30 and 274,313.90

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Solution

The fourth proportional to 276,282.20, 414,423.30 and 274,313.90 is: 411,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,282.20 : 414,423.30 = 274,313.90 : x
  2. Step 2: Convert to fraction form
    276,282.20/414,423.30 = 274,313.90/x
  3. Step 3: Cross multiply
    276,282.20x = 414,423.30 × 274,313.90
  4. Step 4: Simplify right side
    276,282.20x = 113,682,071,673.87
  5. Step 5: Solve for x
    x = 113,682,071,673.87/276,282.20
  6. Step 6: Final answer
    x = 411,470.85

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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.