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Finding the Fourth Proportional to 350,758.44, 484,046.70 and 189,613

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Solution

The fourth proportional to 350,758.44, 484,046.70 and 189,613 is: 261,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,758.44 : 484,046.70 = 189,613 : x
  2. Step 2: Convert to fraction form
    350,758.44/484,046.70 = 189,613/x
  3. Step 3: Cross multiply
    350,758.44x = 484,046.70 × 189,613
  4. Step 4: Simplify right side
    350,758.44x = 91,781,546,927.10
  5. Step 5: Solve for x
    x = 91,781,546,927.10/350,758.44
  6. Step 6: Final answer
    x = 261,665.97

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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.