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Finding the Fourth Proportional to 419,522.73, 629,375.24 and 153,282.84

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Solution

The fourth proportional to 419,522.73, 629,375.24 and 153,282.84 is: 229,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,522.73 : 629,375.24 = 153,282.84 : x
  2. Step 2: Convert to fraction form
    419,522.73/629,375.24 = 153,282.84/x
  3. Step 3: Cross multiply
    419,522.73x = 629,375.24 × 153,282.84
  4. Step 4: Simplify right side
    419,522.73x = 96,472,424,212.88
  5. Step 5: Solve for x
    x = 96,472,424,212.88/419,522.73
  6. Step 6: Final answer
    x = 229,957.56

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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.