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Finding the Fourth Proportional to 299,522.16, 413,791.56 and 196,401.36

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Solution

The fourth proportional to 299,522.16, 413,791.56 and 196,401.36 is: 271,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,522.16 : 413,791.56 = 196,401.36 : x
  2. Step 2: Convert to fraction form
    299,522.16/413,791.56 = 196,401.36/x
  3. Step 3: Cross multiply
    299,522.16x = 413,791.56 × 196,401.36
  4. Step 4: Simplify right side
    299,522.16x = 81,269,225,140.52
  5. Step 5: Solve for x
    x = 81,269,225,140.52/299,522.16
  6. Step 6: Final answer
    x = 271,329.59

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1.5x scale

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.