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Finding the Fourth Proportional to 408,272.80, 612,428.40 and 127,799.20

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Solution

The fourth proportional to 408,272.80, 612,428.40 and 127,799.20 is: 191,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272.80 : 612,428.40 = 127,799.20 : x
  2. Step 2: Convert to fraction form
    408,272.80/612,428.40 = 127,799.20/x
  3. Step 3: Cross multiply
    408,272.80x = 612,428.40 × 127,799.20
  4. Step 4: Simplify right side
    408,272.80x = 78,267,859,577.28
  5. Step 5: Solve for x
    x = 78,267,859,577.28/408,272.80
  6. Step 6: Final answer
    x = 191,704.81

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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.