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Finding the Fourth Proportional to 547,251.86, 821,004.24 and 173,274.86

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Solution

The fourth proportional to 547,251.86, 821,004.24 and 173,274.86 is: 259,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,251.86 : 821,004.24 = 173,274.86 : x
  2. Step 2: Convert to fraction form
    547,251.86/821,004.24 = 173,274.86/x
  3. Step 3: Cross multiply
    547,251.86x = 821,004.24 × 173,274.86
  4. Step 4: Simplify right side
    547,251.86x = 142,259,394,745.41
  5. Step 5: Solve for x
    x = 142,259,394,745.41/547,251.86
  6. Step 6: Final answer
    x = 259,952.33

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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.