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Finding the Fourth Proportional to 408,529.20, 612,793.80 and 198,577.20

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Solution

The fourth proportional to 408,529.20, 612,793.80 and 198,577.20 is: 297,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,529.20 : 612,793.80 = 198,577.20 : x
  2. Step 2: Convert to fraction form
    408,529.20/612,793.80 = 198,577.20/x
  3. Step 3: Cross multiply
    408,529.20x = 612,793.80 × 198,577.20
  4. Step 4: Simplify right side
    408,529.20x = 121,686,876,981.36
  5. Step 5: Solve for x
    x = 121,686,876,981.36/408,529.20
  6. Step 6: Final answer
    x = 297,865.80

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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.