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Finding the Fourth Proportional to 463,164.28, 694,029.16 and 321,285.49

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Solution

The fourth proportional to 463,164.28, 694,029.16 and 321,285.49 is: 481,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,164.28 : 694,029.16 = 321,285.49 : x
  2. Step 2: Convert to fraction form
    463,164.28/694,029.16 = 321,285.49/x
  3. Step 3: Cross multiply
    463,164.28x = 694,029.16 × 321,285.49
  4. Step 4: Simplify right side
    463,164.28x = 222,981,497,411.42
  5. Step 5: Solve for x
    x = 222,981,497,411.42/463,164.28
  6. Step 6: Final answer
    x = 481,430.69

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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.