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Finding the Fourth Proportional to 543,732.20, 814,796.40 and 394,287.20

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Solution

The fourth proportional to 543,732.20, 814,796.40 and 394,287.20 is: 590,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,732.20 : 814,796.40 = 394,287.20 : x
  2. Step 2: Convert to fraction form
    543,732.20/814,796.40 = 394,287.20/x
  3. Step 3: Cross multiply
    543,732.20x = 814,796.40 × 394,287.20
  4. Step 4: Simplify right side
    543,732.20x = 321,263,791,126.08
  5. Step 5: Solve for x
    x = 321,263,791,126.08/543,732.20
  6. Step 6: Final answer
    x = 590,849.30

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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.