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Finding the Fourth Proportional to 395,299, 593,009.94 and 132,704.44

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Solution

The fourth proportional to 395,299, 593,009.94 and 132,704.44 is: 199,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,299 : 593,009.94 = 132,704.44 : x
  2. Step 2: Convert to fraction form
    395,299/593,009.94 = 132,704.44/x
  3. Step 3: Cross multiply
    395,299x = 593,009.94 × 132,704.44
  4. Step 4: Simplify right side
    395,299x = 78,695,052,002.13
  5. Step 5: Solve for x
    x = 78,695,052,002.13/395,299
  6. Step 6: Final answer
    x = 199,077.29

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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.