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Finding the Fourth Proportional to 356,046.39, 491,344.64 and 194,901.54

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Solution

The fourth proportional to 356,046.39, 491,344.64 and 194,901.54 is: 268,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,046.39 : 491,344.64 = 194,901.54 : x
  2. Step 2: Convert to fraction form
    356,046.39/491,344.64 = 194,901.54/x
  3. Step 3: Cross multiply
    356,046.39x = 491,344.64 × 194,901.54
  4. Step 4: Simplify right side
    356,046.39x = 95,763,826,032.24
  5. Step 5: Solve for x
    x = 95,763,826,032.24/356,046.39
  6. Step 6: Final answer
    x = 268,964.46

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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.