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Finding the Fourth Proportional to 512,251.80, 768,608.10 and 231,624.60

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Solution

The fourth proportional to 512,251.80, 768,608.10 and 231,624.60 is: 347,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,251.80 : 768,608.10 = 231,624.60 : x
  2. Step 2: Convert to fraction form
    512,251.80/768,608.10 = 231,624.60/x
  3. Step 3: Cross multiply
    512,251.80x = 768,608.10 × 231,624.60
  4. Step 4: Simplify right side
    512,251.80x = 178,028,543,719.26
  5. Step 5: Solve for x
    x = 178,028,543,719.26/512,251.80
  6. Step 6: Final answer
    x = 347,541.08

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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.