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Finding the Fourth Proportional to 409,959.60, 613,902.60 and 327,015.60

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Solution

The fourth proportional to 409,959.60, 613,902.60 and 327,015.60 is: 489,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,959.60 : 613,902.60 = 327,015.60 : x
  2. Step 2: Convert to fraction form
    409,959.60/613,902.60 = 327,015.60/x
  3. Step 3: Cross multiply
    409,959.60x = 613,902.60 × 327,015.60
  4. Step 4: Simplify right side
    409,959.60x = 200,755,727,080.56
  5. Step 5: Solve for x
    x = 200,755,727,080.56/409,959.60
  6. Step 6: Final answer
    x = 489,696.37

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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.