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Finding the Fourth Proportional to 274,474.20, 410,909.40 and 195,742.20

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Solution

The fourth proportional to 274,474.20, 410,909.40 and 195,742.20 is: 293,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,474.20 : 410,909.40 = 195,742.20 : x
  2. Step 2: Convert to fraction form
    274,474.20/410,909.40 = 195,742.20/x
  3. Step 3: Cross multiply
    274,474.20x = 410,909.40 × 195,742.20
  4. Step 4: Simplify right side
    274,474.20x = 80,432,309,956.68
  5. Step 5: Solve for x
    x = 80,432,309,956.68/274,474.20
  6. Step 6: Final answer
    x = 293,041.42

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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.