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Finding the Fourth Proportional to 462,685.40, 694,085.22 and 225,849.09

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Solution

The fourth proportional to 462,685.40, 694,085.22 and 225,849.09 is: 338,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,685.40 : 694,085.22 = 225,849.09 : x
  2. Step 2: Convert to fraction form
    462,685.40/694,085.22 = 225,849.09/x
  3. Step 3: Cross multiply
    462,685.40x = 694,085.22 × 225,849.09
  4. Step 4: Simplify right side
    462,685.40x = 156,758,517,922.27
  5. Step 5: Solve for x
    x = 156,758,517,922.27/462,685.40
  6. Step 6: Final answer
    x = 338,801.52

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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.