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Finding the Fourth Proportional to 300,965.49, 415,321.29 and 164,996.46

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Solution

The fourth proportional to 300,965.49, 415,321.29 and 164,996.46 is: 227,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,965.49 : 415,321.29 = 164,996.46 : x
  2. Step 2: Convert to fraction form
    300,965.49/415,321.29 = 164,996.46/x
  3. Step 3: Cross multiply
    300,965.49x = 415,321.29 × 164,996.46
  4. Step 4: Simplify right side
    300,965.49x = 68,526,542,612.63
  5. Step 5: Solve for x
    x = 68,526,542,612.63/300,965.49
  6. Step 6: Final answer
    x = 227,689.04

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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.