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Finding the Fourth Proportional to 419,131.14, 628,725.87 and 138,845.22

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Solution

The fourth proportional to 419,131.14, 628,725.87 and 138,845.22 is: 208,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,131.14 : 628,725.87 = 138,845.22 : x
  2. Step 2: Convert to fraction form
    419,131.14/628,725.87 = 138,845.22/x
  3. Step 3: Cross multiply
    419,131.14x = 628,725.87 × 138,845.22
  4. Step 4: Simplify right side
    419,131.14x = 87,295,581,739.84
  5. Step 5: Solve for x
    x = 87,295,581,739.84/419,131.14
  6. Step 6: Final answer
    x = 208,277.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.