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Finding the Fourth Proportional to 395,297, 593,006.94 and 132,702.44

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Solution

The fourth proportional to 395,297, 593,006.94 and 132,702.44 is: 199,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,297 : 593,006.94 = 132,702.44 : x
  2. Step 2: Convert to fraction form
    395,297/593,006.94 = 132,702.44/x
  3. Step 3: Cross multiply
    395,297x = 593,006.94 × 132,702.44
  4. Step 4: Simplify right side
    395,297x = 78,693,467,874.93
  5. Step 5: Solve for x
    x = 78,693,467,874.93/395,297
  6. Step 6: Final answer
    x = 199,074.29

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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.