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Finding the Fourth Proportional to 341,608.20, 512,558.10 and 164,023.80

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Solution

The fourth proportional to 341,608.20, 512,558.10 and 164,023.80 is: 246,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,608.20 : 512,558.10 = 164,023.80 : x
  2. Step 2: Convert to fraction form
    341,608.20/512,558.10 = 164,023.80/x
  3. Step 3: Cross multiply
    341,608.20x = 512,558.10 × 164,023.80
  4. Step 4: Simplify right side
    341,608.20x = 84,071,727,282.78
  5. Step 5: Solve for x
    x = 84,071,727,282.78/341,608.20
  6. Step 6: Final answer
    x = 246,105.71

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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.