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Finding the Fourth Proportional to 543,664.20, 814,694.40 and 394,219.20

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Solution

The fourth proportional to 543,664.20, 814,694.40 and 394,219.20 is: 590,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,664.20 : 814,694.40 = 394,219.20 : x
  2. Step 2: Convert to fraction form
    543,664.20/814,694.40 = 394,219.20/x
  3. Step 3: Cross multiply
    543,664.20x = 814,694.40 × 394,219.20
  4. Step 4: Simplify right side
    543,664.20x = 321,168,174,612.48
  5. Step 5: Solve for x
    x = 321,168,174,612.48/543,664.20
  6. Step 6: Final answer
    x = 590,747.33

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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.