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Finding the Fourth Proportional to 362,102.16, 543,144.96 and 213,286.44

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Solution

The fourth proportional to 362,102.16, 543,144.96 and 213,286.44 is: 319,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102.16 : 543,144.96 = 213,286.44 : x
  2. Step 2: Convert to fraction form
    362,102.16/543,144.96 = 213,286.44/x
  3. Step 3: Cross multiply
    362,102.16x = 543,144.96 × 213,286.44
  4. Step 4: Simplify right side
    362,102.16x = 115,845,454,922.34
  5. Step 5: Solve for x
    x = 115,845,454,922.34/362,102.16
  6. Step 6: Final answer
    x = 319,924.78

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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.