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Finding the Fourth Proportional to 408,022.20, 611,304.30 and 197,195.40

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Solution

The fourth proportional to 408,022.20, 611,304.30 and 197,195.40 is: 295,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.20 : 611,304.30 = 197,195.40 : x
  2. Step 2: Convert to fraction form
    408,022.20/611,304.30 = 197,195.40/x
  3. Step 3: Cross multiply
    408,022.20x = 611,304.30 × 197,195.40
  4. Step 4: Simplify right side
    408,022.20x = 120,546,395,960.22
  5. Step 5: Solve for x
    x = 120,546,395,960.22/408,022.20
  6. Step 6: Final answer
    x = 295,440.78

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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.