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Finding the Fourth Proportional to 395,296, 593,005.44 and 132,701.44

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Solution

The fourth proportional to 395,296, 593,005.44 and 132,701.44 is: 199,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,296 : 593,005.44 = 132,701.44 : x
  2. Step 2: Convert to fraction form
    395,296/593,005.44 = 132,701.44/x
  3. Step 3: Cross multiply
    395,296x = 593,005.44 × 132,701.44
  4. Step 4: Simplify right side
    395,296x = 78,692,675,815.83
  5. Step 5: Solve for x
    x = 78,692,675,815.83/395,296
  6. Step 6: Final answer
    x = 199,072.79

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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.