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Finding the Fourth Proportional to 327,257.70, 451,607.85 and 214,078.02

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Solution

The fourth proportional to 327,257.70, 451,607.85 and 214,078.02 is: 295,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,257.70 : 451,607.85 = 214,078.02 : x
  2. Step 2: Convert to fraction form
    327,257.70/451,607.85 = 214,078.02/x
  3. Step 3: Cross multiply
    327,257.70x = 451,607.85 × 214,078.02
  4. Step 4: Simplify right side
    327,257.70x = 96,679,314,344.46
  5. Step 5: Solve for x
    x = 96,679,314,344.46/327,257.70
  6. Step 6: Final answer
    x = 295,422.58

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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.