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Finding the Fourth Proportional to 349,057.40, 481,670.82 and 196,087.28

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Solution

The fourth proportional to 349,057.40, 481,670.82 and 196,087.28 is: 270,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,057.40 : 481,670.82 = 196,087.28 : x
  2. Step 2: Convert to fraction form
    349,057.40/481,670.82 = 196,087.28/x
  3. Step 3: Cross multiply
    349,057.40x = 481,670.82 × 196,087.28
  4. Step 4: Simplify right side
    349,057.40x = 94,449,520,949.17
  5. Step 5: Solve for x
    x = 94,449,520,949.17/349,057.40
  6. Step 6: Final answer
    x = 270,584.50

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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.