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Finding the Fourth Proportional to 493,079.97, 739,320.62 and 193,201.27

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Solution

The fourth proportional to 493,079.97, 739,320.62 and 193,201.27 is: 289,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,079.97 : 739,320.62 = 193,201.27 : x
  2. Step 2: Convert to fraction form
    493,079.97/739,320.62 = 193,201.27/x
  3. Step 3: Cross multiply
    493,079.97x = 739,320.62 × 193,201.27
  4. Step 4: Simplify right side
    493,079.97x = 142,837,679,906.88
  5. Step 5: Solve for x
    x = 142,837,679,906.88/493,079.97
  6. Step 6: Final answer
    x = 289,684.61

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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.