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Finding the Fourth Proportional to 352,914, 487,021.32 and 193,938

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Solution

The fourth proportional to 352,914, 487,021.32 and 193,938 is: 267,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,914 : 487,021.32 = 193,938 : x
  2. Step 2: Convert to fraction form
    352,914/487,021.32 = 193,938/x
  3. Step 3: Cross multiply
    352,914x = 487,021.32 × 193,938
  4. Step 4: Simplify right side
    352,914x = 94,451,940,758.16
  5. Step 5: Solve for x
    x = 94,451,940,758.16/352,914
  6. Step 6: Final answer
    x = 267,634.44

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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.