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Finding the Fourth Proportional to 408,531.20, 612,067.80 and 197,704.40

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Solution

The fourth proportional to 408,531.20, 612,067.80 and 197,704.40 is: 296,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531.20 : 612,067.80 = 197,704.40 : x
  2. Step 2: Convert to fraction form
    408,531.20/612,067.80 = 197,704.40/x
  3. Step 3: Cross multiply
    408,531.20x = 612,067.80 × 197,704.40
  4. Step 4: Simplify right side
    408,531.20x = 121,008,497,158.32
  5. Step 5: Solve for x
    x = 121,008,497,158.32/408,531.20
  6. Step 6: Final answer
    x = 296,203.81

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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.