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Finding the Fourth Proportional to 341,793.62, 512,801.14 and 164,314.47

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Solution

The fourth proportional to 341,793.62, 512,801.14 and 164,314.47 is: 246,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,793.62 : 512,801.14 = 164,314.47 : x
  2. Step 2: Convert to fraction form
    341,793.62/512,801.14 = 164,314.47/x
  3. Step 3: Cross multiply
    341,793.62x = 512,801.14 × 164,314.47
  4. Step 4: Simplify right side
    341,793.62x = 84,260,644,970.49
  5. Step 5: Solve for x
    x = 84,260,644,970.49/341,793.62
  6. Step 6: Final answer
    x = 246,524.92

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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.