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Finding the Fourth Proportional to 322,198.46, 444,621.50 and 178,967.64

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Solution

The fourth proportional to 322,198.46, 444,621.50 and 178,967.64 is: 246,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,198.46 : 444,621.50 = 178,967.64 : x
  2. Step 2: Convert to fraction form
    322,198.46/444,621.50 = 178,967.64/x
  3. Step 3: Cross multiply
    322,198.46x = 444,621.50 × 178,967.64
  4. Step 4: Simplify right side
    322,198.46x = 79,572,860,548.26
  5. Step 5: Solve for x
    x = 79,572,860,548.26/322,198.46
  6. Step 6: Final answer
    x = 246,968.47

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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.