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Finding the Fourth Proportional to 349,896.76, 482,903.82 and 196,964.56

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Solution

The fourth proportional to 349,896.76, 482,903.82 and 196,964.56 is: 271,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,896.76 : 482,903.82 = 196,964.56 : x
  2. Step 2: Convert to fraction form
    349,896.76/482,903.82 = 196,964.56/x
  3. Step 3: Cross multiply
    349,896.76x = 482,903.82 × 196,964.56
  4. Step 4: Simplify right side
    349,896.76x = 95,114,938,428.62
  5. Step 5: Solve for x
    x = 95,114,938,428.62/349,896.76
  6. Step 6: Final answer
    x = 271,837.15

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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.