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Finding the Fourth Proportional to 462,796.20, 694,165.14 and 147,479.40

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Solution

The fourth proportional to 462,796.20, 694,165.14 and 147,479.40 is: 221,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,796.20 : 694,165.14 = 147,479.40 : x
  2. Step 2: Convert to fraction form
    462,796.20/694,165.14 = 147,479.40/x
  3. Step 3: Cross multiply
    462,796.20x = 694,165.14 × 147,479.40
  4. Step 4: Simplify right side
    462,796.20x = 102,375,058,348.12
  5. Step 5: Solve for x
    x = 102,375,058,348.12/462,796.20
  6. Step 6: Final answer
    x = 221,209.81

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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.