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Finding the Fourth Proportional to 463,401, 639,503.10 and 262,197

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Solution

The fourth proportional to 463,401, 639,503.10 and 262,197 is: 361,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,401 : 639,503.10 = 262,197 : x
  2. Step 2: Convert to fraction form
    463,401/639,503.10 = 262,197/x
  3. Step 3: Cross multiply
    463,401x = 639,503.10 × 262,197
  4. Step 4: Simplify right side
    463,401x = 167,675,794,310.70
  5. Step 5: Solve for x
    x = 167,675,794,310.70/463,401
  6. Step 6: Final answer
    x = 361,837.36

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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.