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Finding the Fourth Proportional to 463,672.35, 694,318.64 and 321,314.85

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Solution

The fourth proportional to 463,672.35, 694,318.64 and 321,314.85 is: 481,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,672.35 : 694,318.64 = 321,314.85 : x
  2. Step 2: Convert to fraction form
    463,672.35/694,318.64 = 321,314.85/x
  3. Step 3: Cross multiply
    463,672.35x = 694,318.64 × 321,314.85
  4. Step 4: Simplify right side
    463,672.35x = 223,094,888,057.23
  5. Step 5: Solve for x
    x = 223,094,888,057.23/463,672.35
  6. Step 6: Final answer
    x = 481,147.71

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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.