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Finding the Fourth Proportional to 271,806.40, 407,709.60 and 227,847.70

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Solution

The fourth proportional to 271,806.40, 407,709.60 and 227,847.70 is: 341,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.40 : 407,709.60 = 227,847.70 : x
  2. Step 2: Convert to fraction form
    271,806.40/407,709.60 = 227,847.70/x
  3. Step 3: Cross multiply
    271,806.40x = 407,709.60 × 227,847.70
  4. Step 4: Simplify right side
    271,806.40x = 92,895,694,627.92
  5. Step 5: Solve for x
    x = 92,895,694,627.92/271,806.40
  6. Step 6: Final answer
    x = 341,771.55

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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.