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Finding the Fourth Proportional to 542,274.90, 813,408.24 and 163,194

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Solution

The fourth proportional to 542,274.90, 813,408.24 and 163,194 is: 244,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,274.90 : 813,408.24 = 163,194 : x
  2. Step 2: Convert to fraction form
    542,274.90/813,408.24 = 163,194/x
  3. Step 3: Cross multiply
    542,274.90x = 813,408.24 × 163,194
  4. Step 4: Simplify right side
    542,274.90x = 132,743,344,318.56
  5. Step 5: Solve for x
    x = 132,743,344,318.56/542,274.90
  6. Step 6: Final answer
    x = 244,789.76

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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.