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Finding the Fourth Proportional to 363,194.56, 544,791.84 and 113,896

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Solution

The fourth proportional to 363,194.56, 544,791.84 and 113,896 is: 170,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,194.56 : 544,791.84 = 113,896 : x
  2. Step 2: Convert to fraction form
    363,194.56/544,791.84 = 113,896/x
  3. Step 3: Cross multiply
    363,194.56x = 544,791.84 × 113,896
  4. Step 4: Simplify right side
    363,194.56x = 62,049,611,408.64
  5. Step 5: Solve for x
    x = 62,049,611,408.64/363,194.56
  6. Step 6: Final answer
    x = 170,844

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.