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Finding the Fourth Proportional to 416,236.64, 574,408.01 and 225,249.98

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Solution

The fourth proportional to 416,236.64, 574,408.01 and 225,249.98 is: 310,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,236.64 : 574,408.01 = 225,249.98 : x
  2. Step 2: Convert to fraction form
    416,236.64/574,408.01 = 225,249.98/x
  3. Step 3: Cross multiply
    416,236.64x = 574,408.01 × 225,249.98
  4. Step 4: Simplify right side
    416,236.64x = 129,385,394,200.36
  5. Step 5: Solve for x
    x = 129,385,394,200.36/416,236.64
  6. Step 6: Final answer
    x = 310,845.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.