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Finding the Fourth Proportional to 274,491.32, 378,497.22 and 178,820.60

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Solution

The fourth proportional to 274,491.32, 378,497.22 and 178,820.60 is: 246,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,491.32 : 378,497.22 = 178,820.60 : x
  2. Step 2: Convert to fraction form
    274,491.32/378,497.22 = 178,820.60/x
  3. Step 3: Cross multiply
    274,491.32x = 378,497.22 × 178,820.60
  4. Step 4: Simplify right side
    274,491.32x = 67,683,099,978.73
  5. Step 5: Solve for x
    x = 67,683,099,978.73/274,491.32
  6. Step 6: Final answer
    x = 246,576.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.