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Finding the Fourth Proportional to 462,103.44, 693,174.60 and 225,654.72

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Solution

The fourth proportional to 462,103.44, 693,174.60 and 225,654.72 is: 338,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,103.44 : 693,174.60 = 225,654.72 : x
  2. Step 2: Convert to fraction form
    462,103.44/693,174.60 = 225,654.72/x
  3. Step 3: Cross multiply
    462,103.44x = 693,174.60 × 225,654.72
  4. Step 4: Simplify right side
    462,103.44x = 156,418,120,274.11
  5. Step 5: Solve for x
    x = 156,418,120,274.11/462,103.44
  6. Step 6: Final answer
    x = 338,491.57

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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.