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Finding the Fourth Proportional to 299,739.39, 413,635.46 and 163,770.44

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Solution

The fourth proportional to 299,739.39, 413,635.46 and 163,770.44 is: 226,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,739.39 : 413,635.46 = 163,770.44 : x
  2. Step 2: Convert to fraction form
    299,739.39/413,635.46 = 163,770.44/x
  3. Step 3: Cross multiply
    299,739.39x = 413,635.46 × 163,770.44
  4. Step 4: Simplify right side
    299,739.39x = 67,741,258,396.77
  5. Step 5: Solve for x
    x = 67,741,258,396.77/299,739.39
  6. Step 6: Final answer
    x = 226,000.52

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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.