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Finding the Fourth Proportional to 543,232.20, 814,265.10 and 206,142.60

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Solution

The fourth proportional to 543,232.20, 814,265.10 and 206,142.60 is: 308,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,232.20 : 814,265.10 = 206,142.60 : x
  2. Step 2: Convert to fraction form
    543,232.20/814,265.10 = 206,142.60/x
  3. Step 3: Cross multiply
    543,232.20x = 814,265.10 × 206,142.60
  4. Step 4: Simplify right side
    543,232.20x = 167,854,724,803.26
  5. Step 5: Solve for x
    x = 167,854,724,803.26/543,232.20
  6. Step 6: Final answer
    x = 308,992.59

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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.