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Finding the Fourth Proportional to 419,913.80, 629,870.70 and 285,194.60

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Solution

The fourth proportional to 419,913.80, 629,870.70 and 285,194.60 is: 427,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,913.80 : 629,870.70 = 285,194.60 : x
  2. Step 2: Convert to fraction form
    419,913.80/629,870.70 = 285,194.60/x
  3. Step 3: Cross multiply
    419,913.80x = 629,870.70 × 285,194.60
  4. Step 4: Simplify right side
    419,913.80x = 179,635,722,338.22
  5. Step 5: Solve for x
    x = 179,635,722,338.22/419,913.80
  6. Step 6: Final answer
    x = 427,791.90

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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.