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Finding the Fourth Proportional to 395,512.20, 593,138.70 and 146,161.80

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Solution

The fourth proportional to 395,512.20, 593,138.70 and 146,161.80 is: 219,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,512.20 : 593,138.70 = 146,161.80 : x
  2. Step 2: Convert to fraction form
    395,512.20/593,138.70 = 146,161.80/x
  3. Step 3: Cross multiply
    395,512.20x = 593,138.70 × 146,161.80
  4. Step 4: Simplify right side
    395,512.20x = 86,694,220,041.66
  5. Step 5: Solve for x
    x = 86,694,220,041.66/395,512.20
  6. Step 6: Final answer
    x = 219,194.81

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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.