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Finding the Fourth Proportional to 231,286.30, 347,231.59 and 185,718.33

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Solution

The fourth proportional to 231,286.30, 347,231.59 and 185,718.33 is: 278,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,286.30 : 347,231.59 = 185,718.33 : x
  2. Step 2: Convert to fraction form
    231,286.30/347,231.59 = 185,718.33/x
  3. Step 3: Cross multiply
    231,286.30x = 347,231.59 × 185,718.33
  4. Step 4: Simplify right side
    231,286.30x = 64,487,271,018.04
  5. Step 5: Solve for x
    x = 64,487,271,018.04/231,286.30
  6. Step 6: Final answer
    x = 278,820.11

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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.