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Finding the Fourth Proportional to 323,713.20, 446,647.32 and 196,385.52

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Solution

The fourth proportional to 323,713.20, 446,647.32 and 196,385.52 is: 270,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,713.20 : 446,647.32 = 196,385.52 : x
  2. Step 2: Convert to fraction form
    323,713.20/446,647.32 = 196,385.52/x
  3. Step 3: Cross multiply
    323,713.20x = 446,647.32 × 196,385.52
  4. Step 4: Simplify right side
    323,713.20x = 87,715,066,194.81
  5. Step 5: Solve for x
    x = 87,715,066,194.81/323,713.20
  6. Step 6: Final answer
    x = 270,965.37

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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.