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Finding the Fourth Proportional to 765,982, 1,149,497.97 and 267,346

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Solution

The fourth proportional to 765,982, 1,149,497.97 and 267,346 is: 401,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,982 : 1,149,497.97 = 267,346 : x
  2. Step 2: Convert to fraction form
    765,982/1,149,497.97 = 267,346/x
  3. Step 3: Cross multiply
    765,982x = 1,149,497.97 × 267,346
  4. Step 4: Simplify right side
    765,982x = 307,313,684,287.62
  5. Step 5: Solve for x
    x = 307,313,684,287.62/765,982
  6. Step 6: Final answer
    x = 401,202.23

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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.