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Finding the Fourth Proportional to 416,947.32, 625,433.14 and 150,660.64

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Solution

The fourth proportional to 416,947.32, 625,433.14 and 150,660.64 is: 225,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,947.32 : 625,433.14 = 150,660.64 : x
  2. Step 2: Convert to fraction form
    416,947.32/625,433.14 = 150,660.64/x
  3. Step 3: Cross multiply
    416,947.32x = 625,433.14 × 150,660.64
  4. Step 4: Simplify right side
    416,947.32x = 94,228,157,149.61
  5. Step 5: Solve for x
    x = 94,228,157,149.61/416,947.32
  6. Step 6: Final answer
    x = 225,995.35

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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.