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Finding the Fourth Proportional to 408,086.28, 612,032.22 and 171,433.56

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Solution

The fourth proportional to 408,086.28, 612,032.22 and 171,433.56 is: 257,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086.28 : 612,032.22 = 171,433.56 : x
  2. Step 2: Convert to fraction form
    408,086.28/612,032.22 = 171,433.56/x
  3. Step 3: Cross multiply
    408,086.28x = 612,032.22 × 171,433.56
  4. Step 4: Simplify right side
    408,086.28x = 104,922,862,309.30
  5. Step 5: Solve for x
    x = 104,922,862,309.30/408,086.28
  6. Step 6: Final answer
    x = 257,109.51

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1.5x scale

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.