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Finding the Fourth Proportional to 463,767.17, 694,250.24 and 419,414.81

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Solution

The fourth proportional to 463,767.17, 694,250.24 and 419,414.81 is: 627,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,767.17 : 694,250.24 = 419,414.81 : x
  2. Step 2: Convert to fraction form
    463,767.17/694,250.24 = 419,414.81/x
  3. Step 3: Cross multiply
    463,767.17x = 694,250.24 × 419,414.81
  4. Step 4: Simplify right side
    463,767.17x = 291,178,826,933.73
  5. Step 5: Solve for x
    x = 291,178,826,933.73/463,767.17
  6. Step 6: Final answer
    x = 627,855.63

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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.