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Finding the Fourth Proportional to 412,060.22, 617,963.16 and 145,759.49

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Solution

The fourth proportional to 412,060.22, 617,963.16 and 145,759.49 is: 218,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,060.22 : 617,963.16 = 145,759.49 : x
  2. Step 2: Convert to fraction form
    412,060.22/617,963.16 = 145,759.49/x
  3. Step 3: Cross multiply
    412,060.22x = 617,963.16 × 145,759.49
  4. Step 4: Simplify right side
    412,060.22x = 90,073,995,040.39
  5. Step 5: Solve for x
    x = 90,073,995,040.39/412,060.22
  6. Step 6: Final answer
    x = 218,594.25

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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.