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Finding the Fourth Proportional to 463,803.17, 694,304.26 and 419,450.81

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Solution

The fourth proportional to 463,803.17, 694,304.26 and 419,450.81 is: 627,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,803.17 : 694,304.26 = 419,450.81 : x
  2. Step 2: Convert to fraction form
    463,803.17/694,304.26 = 419,450.81/x
  3. Step 3: Cross multiply
    463,803.17x = 694,304.26 × 419,450.81
  4. Step 4: Simplify right side
    463,803.17x = 291,226,479,723.30
  5. Step 5: Solve for x
    x = 291,226,479,723.30/463,803.17
  6. Step 6: Final answer
    x = 627,909.64

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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.