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Finding the Fourth Proportional to 352,912, 487,018.56 and 193,936

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Solution

The fourth proportional to 352,912, 487,018.56 and 193,936 is: 267,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,912 : 487,018.56 = 193,936 : x
  2. Step 2: Convert to fraction form
    352,912/487,018.56 = 193,936/x
  3. Step 3: Cross multiply
    352,912x = 487,018.56 × 193,936
  4. Step 4: Simplify right side
    352,912x = 94,450,431,452.16
  5. Step 5: Solve for x
    x = 94,450,431,452.16/352,912
  6. Step 6: Final answer
    x = 267,631.68

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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.