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Finding the Fourth Proportional to 494,644.60, 741,092.10 and 419,411.80

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Solution

The fourth proportional to 494,644.60, 741,092.10 and 419,411.80 is: 628,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,644.60 : 741,092.10 = 419,411.80 : x
  2. Step 2: Convert to fraction form
    494,644.60/741,092.10 = 419,411.80/x
  3. Step 3: Cross multiply
    494,644.60x = 741,092.10 × 419,411.80
  4. Step 4: Simplify right side
    494,644.60x = 310,822,771,626.78
  5. Step 5: Solve for x
    x = 310,822,771,626.78/494,644.60
  6. Step 6: Final answer
    x = 628,375.95

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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.