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Finding the Fourth Proportional to 395,838.24, 593,709.98 and 111,550.12

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Solution

The fourth proportional to 395,838.24, 593,709.98 and 111,550.12 is: 167,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,838.24 : 593,709.98 = 111,550.12 : x
  2. Step 2: Convert to fraction form
    395,838.24/593,709.98 = 111,550.12/x
  3. Step 3: Cross multiply
    395,838.24x = 593,709.98 × 111,550.12
  4. Step 4: Simplify right side
    395,838.24x = 66,228,419,514.20
  5. Step 5: Solve for x
    x = 66,228,419,514.20/395,838.24
  6. Step 6: Final answer
    x = 167,311.83

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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.