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Finding the Fourth Proportional to 408,906.20, 613,820.10 and 315,824.60

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Solution

The fourth proportional to 408,906.20, 613,820.10 and 315,824.60 is: 474,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906.20 : 613,820.10 = 315,824.60 : x
  2. Step 2: Convert to fraction form
    408,906.20/613,820.10 = 315,824.60/x
  3. Step 3: Cross multiply
    408,906.20x = 613,820.10 × 315,824.60
  4. Step 4: Simplify right side
    408,906.20x = 193,859,487,554.46
  5. Step 5: Solve for x
    x = 193,859,487,554.46/408,906.20
  6. Step 6: Final answer
    x = 474,092.81

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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.