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Finding the Fourth Proportional to 463,804.85, 694,306.79 and 419,452.49

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Solution

The fourth proportional to 463,804.85, 694,306.79 and 419,452.49 is: 627,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,804.85 : 694,306.79 = 419,452.49 : x
  2. Step 2: Convert to fraction form
    463,804.85/694,306.79 = 419,452.49/x
  3. Step 3: Cross multiply
    463,804.85x = 694,306.79 × 419,452.49
  4. Step 4: Simplify right side
    463,804.85x = 291,228,713,100.86
  5. Step 5: Solve for x
    x = 291,228,713,100.86/463,804.85
  6. Step 6: Final answer
    x = 627,912.17

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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.