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Finding the Fourth Proportional to 408,468.80, 612,942.96 and 171,793.28

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Solution

The fourth proportional to 408,468.80, 612,942.96 and 171,793.28 is: 257,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,468.80 : 612,942.96 = 171,793.28 : x
  2. Step 2: Convert to fraction form
    408,468.80/612,942.96 = 171,793.28/x
  3. Step 3: Cross multiply
    408,468.80x = 612,942.96 × 171,793.28
  4. Step 4: Simplify right side
    408,468.80x = 105,299,481,551.31
  5. Step 5: Solve for x
    x = 105,299,481,551.31/408,468.80
  6. Step 6: Final answer
    x = 257,790.76

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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.