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Finding the Fourth Proportional to 340,052.82, 469,265.30 and 196,810

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Solution

The fourth proportional to 340,052.82, 469,265.30 and 196,810 is: 271,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,052.82 : 469,265.30 = 196,810 : x
  2. Step 2: Convert to fraction form
    340,052.82/469,265.30 = 196,810/x
  3. Step 3: Cross multiply
    340,052.82x = 469,265.30 × 196,810
  4. Step 4: Simplify right side
    340,052.82x = 92,356,103,693
  5. Step 5: Solve for x
    x = 92,356,103,693/340,052.82
  6. Step 6: Final answer
    x = 271,593.41

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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.