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Finding the Fourth Proportional to 416,236.14, 574,407.32 and 225,249.48

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Solution

The fourth proportional to 416,236.14, 574,407.32 and 225,249.48 is: 310,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,236.14 : 574,407.32 = 225,249.48 : x
  2. Step 2: Convert to fraction form
    416,236.14/574,407.32 = 225,249.48/x
  3. Step 3: Cross multiply
    416,236.14x = 574,407.32 × 225,249.48
  4. Step 4: Simplify right side
    416,236.14x = 129,384,950,138.19
  5. Step 5: Solve for x
    x = 129,384,950,138.19/416,236.14
  6. Step 6: Final answer
    x = 310,845.07

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