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Finding the Fourth Proportional to 300,991.29, 415,309.49 and 178,461.04

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Solution

The fourth proportional to 300,991.29, 415,309.49 and 178,461.04 is: 246,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,991.29 : 415,309.49 = 178,461.04 : x
  2. Step 2: Convert to fraction form
    300,991.29/415,309.49 = 178,461.04/x
  3. Step 3: Cross multiply
    300,991.29x = 415,309.49 × 178,461.04
  4. Step 4: Simplify right side
    300,991.29x = 74,116,561,876.87
  5. Step 5: Solve for x
    x = 74,116,561,876.87/300,991.29
  6. Step 6: Final answer
    x = 246,241.55

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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.