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Finding the Fourth Proportional to 356,077.84, 491,396.08 and 194,932.39

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Solution

The fourth proportional to 356,077.84, 491,396.08 and 194,932.39 is: 269,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,077.84 : 491,396.08 = 194,932.39 : x
  2. Step 2: Convert to fraction form
    356,077.84/491,396.08 = 194,932.39/x
  3. Step 3: Cross multiply
    356,077.84x = 491,396.08 × 194,932.39
  4. Step 4: Simplify right side
    356,077.84x = 95,789,012,311.03
  5. Step 5: Solve for x
    x = 95,789,012,311.03/356,077.84
  6. Step 6: Final answer
    x = 269,011.44

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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.