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Finding the Fourth Proportional to 765,981, 1,149,496.47 and 267,345

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Solution

The fourth proportional to 765,981, 1,149,496.47 and 267,345 is: 401,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,981 : 1,149,496.47 = 267,345 : x
  2. Step 2: Convert to fraction form
    765,981/1,149,496.47 = 267,345/x
  3. Step 3: Cross multiply
    765,981x = 1,149,496.47 × 267,345
  4. Step 4: Simplify right side
    765,981x = 307,312,133,772.15
  5. Step 5: Solve for x
    x = 307,312,133,772.15/765,981
  6. Step 6: Final answer
    x = 401,200.73

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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.