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Finding the Fourth Proportional to 294,443.58, 406,344.60 and 167,131.02

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Solution

The fourth proportional to 294,443.58, 406,344.60 and 167,131.02 is: 230,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.58 : 406,344.60 = 167,131.02 : x
  2. Step 2: Convert to fraction form
    294,443.58/406,344.60 = 167,131.02/x
  3. Step 3: Cross multiply
    294,443.58x = 406,344.60 × 167,131.02
  4. Step 4: Simplify right side
    294,443.58x = 67,912,787,469.49
  5. Step 5: Solve for x
    x = 67,912,787,469.49/294,443.58
  6. Step 6: Final answer
    x = 230,647.88

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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.