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Finding the Fourth Proportional to 397,427.36, 596,200.32 and 131,216

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Solution

The fourth proportional to 397,427.36, 596,200.32 and 131,216 is: 196,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,427.36 : 596,200.32 = 131,216 : x
  2. Step 2: Convert to fraction form
    397,427.36/596,200.32 = 131,216/x
  3. Step 3: Cross multiply
    397,427.36x = 596,200.32 × 131,216
  4. Step 4: Simplify right side
    397,427.36x = 78,231,021,189.12
  5. Step 5: Solve for x
    x = 78,231,021,189.12/397,427.36
  6. Step 6: Final answer
    x = 196,843.57

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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.