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Finding the Fourth Proportional to 419,742.80, 629,614.20 and 331,269.20

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Solution

The fourth proportional to 419,742.80, 629,614.20 and 331,269.20 is: 496,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,742.80 : 629,614.20 = 331,269.20 : x
  2. Step 2: Convert to fraction form
    419,742.80/629,614.20 = 331,269.20/x
  3. Step 3: Cross multiply
    419,742.80x = 629,614.20 × 331,269.20
  4. Step 4: Simplify right side
    419,742.80x = 208,571,792,342.64
  5. Step 5: Solve for x
    x = 208,571,792,342.64/419,742.80
  6. Step 6: Final answer
    x = 496,903.80

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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.