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Finding the Fourth Proportional to 258,840.11, 388,324.56 and 205,732.46

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Solution

The fourth proportional to 258,840.11, 388,324.56 and 205,732.46 is: 308,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,840.11 : 388,324.56 = 205,732.46 : x
  2. Step 2: Convert to fraction form
    258,840.11/388,324.56 = 205,732.46/x
  3. Step 3: Cross multiply
    258,840.11x = 388,324.56 × 205,732.46
  4. Step 4: Simplify right side
    258,840.11x = 79,890,968,749.53
  5. Step 5: Solve for x
    x = 79,890,968,749.53/258,840.11
  6. Step 6: Final answer
    x = 308,649.88

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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.