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Finding the Fourth Proportional to 341,634.20, 512,597.10 and 164,049.80

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Solution

The fourth proportional to 341,634.20, 512,597.10 and 164,049.80 is: 246,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,634.20 : 512,597.10 = 164,049.80 : x
  2. Step 2: Convert to fraction form
    341,634.20/512,597.10 = 164,049.80/x
  3. Step 3: Cross multiply
    341,634.20x = 512,597.10 × 164,049.80
  4. Step 4: Simplify right side
    341,634.20x = 84,091,451,735.58
  5. Step 5: Solve for x
    x = 84,091,451,735.58/341,634.20
  6. Step 6: Final answer
    x = 246,144.71

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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.