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Finding the Fourth Proportional to 408,270.80, 612,425.40 and 127,797.20

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Solution

The fourth proportional to 408,270.80, 612,425.40 and 127,797.20 is: 191,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,270.80 : 612,425.40 = 127,797.20 : x
  2. Step 2: Convert to fraction form
    408,270.80/612,425.40 = 127,797.20/x
  3. Step 3: Cross multiply
    408,270.80x = 612,425.40 × 127,797.20
  4. Step 4: Simplify right side
    408,270.80x = 78,266,251,328.88
  5. Step 5: Solve for x
    x = 78,266,251,328.88/408,270.80
  6. Step 6: Final answer
    x = 191,701.81

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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.