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Finding the Fourth Proportional to 419,367.54, 628,558.56 and 194,252.34

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Solution

The fourth proportional to 419,367.54, 628,558.56 and 194,252.34 is: 291,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,367.54 : 628,558.56 = 194,252.34 : x
  2. Step 2: Convert to fraction form
    419,367.54/628,558.56 = 194,252.34/x
  3. Step 3: Cross multiply
    419,367.54x = 628,558.56 × 194,252.34
  4. Step 4: Simplify right side
    419,367.54x = 122,098,971,107.03
  5. Step 5: Solve for x
    x = 122,098,971,107.03/419,367.54
  6. Step 6: Final answer
    x = 291,150.27

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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.