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Finding the Fourth Proportional to 412,401.83, 617,797.37 and 195,952.52

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Solution

The fourth proportional to 412,401.83, 617,797.37 and 195,952.52 is: 293,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,401.83 : 617,797.37 = 195,952.52 : x
  2. Step 2: Convert to fraction form
    412,401.83/617,797.37 = 195,952.52/x
  3. Step 3: Cross multiply
    412,401.83x = 617,797.37 × 195,952.52
  4. Step 4: Simplify right side
    412,401.83x = 121,058,947,432.12
  5. Step 5: Solve for x
    x = 121,058,947,432.12/412,401.83
  6. Step 6: Final answer
    x = 293,546.10

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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.