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Finding the Fourth Proportional to 411,778.60, 617,713.98 and 131,232.04

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Solution

The fourth proportional to 411,778.60, 617,713.98 and 131,232.04 is: 196,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,778.60 : 617,713.98 = 131,232.04 : x
  2. Step 2: Convert to fraction form
    411,778.60/617,713.98 = 131,232.04/x
  3. Step 3: Cross multiply
    411,778.60x = 617,713.98 × 131,232.04
  4. Step 4: Simplify right side
    411,778.60x = 81,063,865,731.92
  5. Step 5: Solve for x
    x = 81,063,865,731.92/411,778.60
  6. Step 6: Final answer
    x = 196,862.75

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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.