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Finding the Fourth Proportional to 419,942.40, 629,913.60 and 383,200.80

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Solution

The fourth proportional to 419,942.40, 629,913.60 and 383,200.80 is: 574,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,942.40 : 629,913.60 = 383,200.80 : x
  2. Step 2: Convert to fraction form
    419,942.40/629,913.60 = 383,200.80/x
  3. Step 3: Cross multiply
    419,942.40x = 629,913.60 × 383,200.80
  4. Step 4: Simplify right side
    419,942.40x = 241,383,395,450.88
  5. Step 5: Solve for x
    x = 241,383,395,450.88/419,942.40
  6. Step 6: Final answer
    x = 574,801.20

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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.