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Finding the Fourth Proportional to 285,104.40, 393,439.02 and 164,245.38

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Solution

The fourth proportional to 285,104.40, 393,439.02 and 164,245.38 is: 226,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,104.40 : 393,439.02 = 164,245.38 : x
  2. Step 2: Convert to fraction form
    285,104.40/393,439.02 = 164,245.38/x
  3. Step 3: Cross multiply
    285,104.40x = 393,439.02 × 164,245.38
  4. Step 4: Simplify right side
    285,104.40x = 64,620,541,346.73
  5. Step 5: Solve for x
    x = 64,620,541,346.73/285,104.40
  6. Step 6: Final answer
    x = 226,655.71

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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.