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Finding the Fourth Proportional to 299,709.73, 413,628.04 and 163,764.35

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Solution

The fourth proportional to 299,709.73, 413,628.04 and 163,764.35 is: 226,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,709.73 : 413,628.04 = 163,764.35 : x
  2. Step 2: Convert to fraction form
    299,709.73/413,628.04 = 163,764.35/x
  3. Step 3: Cross multiply
    299,709.73x = 413,628.04 × 163,764.35
  4. Step 4: Simplify right side
    299,709.73x = 67,737,527,112.37
  5. Step 5: Solve for x
    x = 67,737,527,112.37/299,709.73
  6. Step 6: Final answer
    x = 226,010.44

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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.