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Finding the Fourth Proportional to 463,240.82, 694,981.02 and 271,277.37

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Solution

The fourth proportional to 463,240.82, 694,981.02 and 271,277.37 is: 406,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,240.82 : 694,981.02 = 271,277.37 : x
  2. Step 2: Convert to fraction form
    463,240.82/694,981.02 = 271,277.37/x
  3. Step 3: Cross multiply
    463,240.82x = 694,981.02 × 271,277.37
  4. Step 4: Simplify right side
    463,240.82x = 188,532,625,233.50
  5. Step 5: Solve for x
    x = 188,532,625,233.50/463,240.82
  6. Step 6: Final answer
    x = 406,986.21

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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.