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Finding the Fourth Proportional to 327,233.60, 451,868.64 and 206,590.40

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Solution

The fourth proportional to 327,233.60, 451,868.64 and 206,590.40 is: 285,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,233.60 : 451,868.64 = 206,590.40 : x
  2. Step 2: Convert to fraction form
    327,233.60/451,868.64 = 206,590.40/x
  3. Step 3: Cross multiply
    327,233.60x = 451,868.64 × 206,590.40
  4. Step 4: Simplify right side
    327,233.60x = 93,351,723,085.06
  5. Step 5: Solve for x
    x = 93,351,723,085.06/327,233.60
  6. Step 6: Final answer
    x = 285,275.48

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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.