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Finding the Fourth Proportional to 394,498.24, 591,500.80 and 166,676.74

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Solution

The fourth proportional to 394,498.24, 591,500.80 and 166,676.74 is: 249,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,498.24 : 591,500.80 = 166,676.74 : x
  2. Step 2: Convert to fraction form
    394,498.24/591,500.80 = 166,676.74/x
  3. Step 3: Cross multiply
    394,498.24x = 591,500.80 × 166,676.74
  4. Step 4: Simplify right side
    394,498.24x = 98,589,424,249.76
  5. Step 5: Solve for x
    x = 98,589,424,249.76/394,498.24
  6. Step 6: Final answer
    x = 249,910.94

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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.