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Finding the Fourth Proportional to 226,722.40, 340,083.60 and 206,504.80

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Solution

The fourth proportional to 226,722.40, 340,083.60 and 206,504.80 is: 309,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,722.40 : 340,083.60 = 206,504.80 : x
  2. Step 2: Convert to fraction form
    226,722.40/340,083.60 = 206,504.80/x
  3. Step 3: Cross multiply
    226,722.40x = 340,083.60 × 206,504.80
  4. Step 4: Simplify right side
    226,722.40x = 70,228,895,801.28
  5. Step 5: Solve for x
    x = 70,228,895,801.28/226,722.40
  6. Step 6: Final answer
    x = 309,757.20

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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.