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Finding the Fourth Proportional to 276,002.70, 414,004.05 and 200,769.90

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Solution

The fourth proportional to 276,002.70, 414,004.05 and 200,769.90 is: 301,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,002.70 : 414,004.05 = 200,769.90 : x
  2. Step 2: Convert to fraction form
    276,002.70/414,004.05 = 200,769.90/x
  3. Step 3: Cross multiply
    276,002.70x = 414,004.05 × 200,769.90
  4. Step 4: Simplify right side
    276,002.70x = 83,119,551,718.10
  5. Step 5: Solve for x
    x = 83,119,551,718.10/276,002.70
  6. Step 6: Final answer
    x = 301,154.85

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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.