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Finding the Fourth Proportional to 394,514.86, 591,797.20 and 166,768.00

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Solution

The fourth proportional to 394,514.86, 591,797.20 and 166,768.00 is: 250,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,514.86 : 591,797.20 = 166,768.00 : x
  2. Step 2: Convert to fraction form
    394,514.86/591,797.20 = 166,768.00/x
  3. Step 3: Cross multiply
    394,514.86x = 591,797.20 × 166,768.00
  4. Step 4: Simplify right side
    394,514.86x = 98,692,836,835.00
  5. Step 5: Solve for x
    x = 98,692,836,835.00/394,514.86
  6. Step 6: Final answer
    x = 250,162.54

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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.