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Finding the Fourth Proportional to 395,403.85, 593,183.23 and 129,092.86

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Solution

The fourth proportional to 395,403.85, 593,183.23 and 129,092.86 is: 193,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,403.85 : 593,183.23 = 129,092.86 : x
  2. Step 2: Convert to fraction form
    395,403.85/593,183.23 = 129,092.86/x
  3. Step 3: Cross multiply
    395,403.85x = 593,183.23 × 129,092.86
  4. Step 4: Simplify right side
    395,403.85x = 76,575,719,664.74
  5. Step 5: Solve for x
    x = 76,575,719,664.74/395,403.85
  6. Step 6: Final answer
    x = 193,664.58

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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.