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Finding the Fourth Proportional to 613,257.35, 919,924.97 and 192,549.83

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Solution

The fourth proportional to 613,257.35, 919,924.97 and 192,549.83 is: 288,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,257.35 : 919,924.97 = 192,549.83 : x
  2. Step 2: Convert to fraction form
    613,257.35/919,924.97 = 192,549.83/x
  3. Step 3: Cross multiply
    613,257.35x = 919,924.97 × 192,549.83
  4. Step 4: Simplify right side
    613,257.35x = 177,131,391,023.88
  5. Step 5: Solve for x
    x = 177,131,391,023.88/613,257.35
  6. Step 6: Final answer
    x = 288,836.97

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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.