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Finding the Fourth Proportional to 395,514.20, 593,141.70 and 146,163.80

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Solution

The fourth proportional to 395,514.20, 593,141.70 and 146,163.80 is: 219,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,514.20 : 593,141.70 = 146,163.80 : x
  2. Step 2: Convert to fraction form
    395,514.20/593,141.70 = 146,163.80/x
  3. Step 3: Cross multiply
    395,514.20x = 593,141.70 × 146,163.80
  4. Step 4: Simplify right side
    395,514.20x = 86,695,844,810.46
  5. Step 5: Solve for x
    x = 86,695,844,810.46/395,514.20
  6. Step 6: Final answer
    x = 219,197.81

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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.