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Finding the Fourth Proportional to 463,769.16, 694,253.22 and 419,416.80

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Solution

The fourth proportional to 463,769.16, 694,253.22 and 419,416.80 is: 627,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,769.16 : 694,253.22 = 419,416.80 : x
  2. Step 2: Convert to fraction form
    463,769.16/694,253.22 = 419,416.80/x
  3. Step 3: Cross multiply
    463,769.16x = 694,253.22 × 419,416.80
  4. Step 4: Simplify right side
    463,769.16x = 291,181,463,922.10
  5. Step 5: Solve for x
    x = 291,181,463,922.10/463,769.16
  6. Step 6: Final answer
    x = 627,858.62

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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.