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Finding the Fourth Proportional to 463,165.28, 694,030.66 and 321,286.49

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Solution

The fourth proportional to 463,165.28, 694,030.66 and 321,286.49 is: 481,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,165.28 : 694,030.66 = 321,286.49 : x
  2. Step 2: Convert to fraction form
    463,165.28/694,030.66 = 321,286.49/x
  3. Step 3: Cross multiply
    463,165.28x = 694,030.66 × 321,286.49
  4. Step 4: Simplify right side
    463,165.28x = 222,982,674,703.78
  5. Step 5: Solve for x
    x = 222,982,674,703.78/463,165.28
  6. Step 6: Final answer
    x = 481,432.19

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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.