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Finding the Fourth Proportional to 409,398.25, 613,847.23 and 196,231.39

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Solution

The fourth proportional to 409,398.25, 613,847.23 and 196,231.39 is: 294,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,398.25 : 613,847.23 = 196,231.39 : x
  2. Step 2: Convert to fraction form
    409,398.25/613,847.23 = 196,231.39/x
  3. Step 3: Cross multiply
    409,398.25x = 613,847.23 × 196,231.39
  4. Step 4: Simplify right side
    409,398.25x = 120,456,095,190.55
  5. Step 5: Solve for x
    x = 120,456,095,190.55/409,398.25
  6. Step 6: Final answer
    x = 294,227.19

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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.