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Finding the Fourth Proportional to 408,992.48, 613,204.11 and 181,164.41

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Solution

The fourth proportional to 408,992.48, 613,204.11 and 181,164.41 is: 271,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,992.48 : 613,204.11 = 181,164.41 : x
  2. Step 2: Convert to fraction form
    408,992.48/613,204.11 = 181,164.41/x
  3. Step 3: Cross multiply
    408,992.48x = 613,204.11 × 181,164.41
  4. Step 4: Simplify right side
    408,992.48x = 111,090,763,480.49
  5. Step 5: Solve for x
    x = 111,090,763,480.49/408,992.48
  6. Step 6: Final answer
    x = 271,620.55

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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.