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Finding the Fourth Proportional to 613,103.82, 919,803.45 and 192,379.68

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Solution

The fourth proportional to 613,103.82, 919,803.45 and 192,379.68 is: 288,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,103.82 : 919,803.45 = 192,379.68 : x
  2. Step 2: Convert to fraction form
    613,103.82/919,803.45 = 192,379.68/x
  3. Step 3: Cross multiply
    613,103.82x = 919,803.45 × 192,379.68
  4. Step 4: Simplify right side
    613,103.82x = 176,951,493,373.90
  5. Step 5: Solve for x
    x = 176,951,493,373.90/613,103.82
  6. Step 6: Final answer
    x = 288,615.87

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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.