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Finding the Fourth Proportional to 411,978.80, 617,968.20 and 131,524.40

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Solution

The fourth proportional to 411,978.80, 617,968.20 and 131,524.40 is: 197,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,978.80 : 617,968.20 = 131,524.40 : x
  2. Step 2: Convert to fraction form
    411,978.80/617,968.20 = 131,524.40/x
  3. Step 3: Cross multiply
    411,978.80x = 617,968.20 × 131,524.40
  4. Step 4: Simplify right side
    411,978.80x = 81,277,896,724.08
  5. Step 5: Solve for x
    x = 81,277,896,724.08/411,978.80
  6. Step 6: Final answer
    x = 197,286.60

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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.