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Finding the Fourth Proportional to 300,766.94, 415,058.14 and 164,809.34

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Solution

The fourth proportional to 300,766.94, 415,058.14 and 164,809.34 is: 227,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,766.94 : 415,058.14 = 164,809.34 : x
  2. Step 2: Convert to fraction form
    300,766.94/415,058.14 = 164,809.34/x
  3. Step 3: Cross multiply
    300,766.94x = 415,058.14 × 164,809.34
  4. Step 4: Simplify right side
    300,766.94x = 68,405,458,115.03
  5. Step 5: Solve for x
    x = 68,405,458,115.03/300,766.94
  6. Step 6: Final answer
    x = 227,436.76

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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.