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Finding the Fourth Proportional to 299,711.98, 413,631.14 and 163,766.60

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Solution

The fourth proportional to 299,711.98, 413,631.14 and 163,766.60 is: 226,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,711.98 : 413,631.14 = 163,766.60 : x
  2. Step 2: Convert to fraction form
    299,711.98/413,631.14 = 163,766.60/x
  3. Step 3: Cross multiply
    299,711.98x = 413,631.14 × 163,766.60
  4. Step 4: Simplify right side
    299,711.98x = 67,738,965,451.92
  5. Step 5: Solve for x
    x = 67,738,965,451.92/299,711.98
  6. Step 6: Final answer
    x = 226,013.54

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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.