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Finding the Fourth Proportional to 271,206.40, 406,809.60 and 227,247.70

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Solution

The fourth proportional to 271,206.40, 406,809.60 and 227,247.70 is: 340,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,206.40 : 406,809.60 = 227,247.70 : x
  2. Step 2: Convert to fraction form
    271,206.40/406,809.60 = 227,247.70/x
  3. Step 3: Cross multiply
    271,206.40x = 406,809.60 × 227,247.70
  4. Step 4: Simplify right side
    271,206.40x = 92,446,545,937.92
  5. Step 5: Solve for x
    x = 92,446,545,937.92/271,206.40
  6. Step 6: Final answer
    x = 340,871.55

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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.