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Finding the Fourth Proportional to 462,494.70, 693,732.20 and 213,176.70

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Solution

The fourth proportional to 462,494.70, 693,732.20 and 213,176.70 is: 319,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,494.70 : 693,732.20 = 213,176.70 : x
  2. Step 2: Convert to fraction form
    462,494.70/693,732.20 = 213,176.70/x
  3. Step 3: Cross multiply
    462,494.70x = 693,732.20 × 213,176.70
  4. Step 4: Simplify right side
    462,494.70x = 147,887,540,013.86
  5. Step 5: Solve for x
    x = 147,887,540,013.86/462,494.70
  6. Step 6: Final answer
    x = 319,760.51

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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.