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Finding the Fourth Proportional to 311,722.40, 466,892.40 and 187,306.40

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Solution

The fourth proportional to 311,722.40, 466,892.40 and 187,306.40 is: 280,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,722.40 : 466,892.40 = 187,306.40 : x
  2. Step 2: Convert to fraction form
    311,722.40/466,892.40 = 187,306.40/x
  3. Step 3: Cross multiply
    311,722.40x = 466,892.40 × 187,306.40
  4. Step 4: Simplify right side
    311,722.40x = 87,451,934,631.36
  5. Step 5: Solve for x
    x = 87,451,934,631.36/311,722.40
  6. Step 6: Final answer
    x = 280,544.27

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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.