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Finding the Fourth Proportional to 356,732.44, 492,288.17 and 195,584.83

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Solution

The fourth proportional to 356,732.44, 492,288.17 and 195,584.83 is: 269,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,732.44 : 492,288.17 = 195,584.83 : x
  2. Step 2: Convert to fraction form
    356,732.44/492,288.17 = 195,584.83/x
  3. Step 3: Cross multiply
    356,732.44x = 492,288.17 × 195,584.83
  4. Step 4: Simplify right side
    356,732.44x = 96,284,097,062.54
  5. Step 5: Solve for x
    x = 96,284,097,062.54/356,732.44
  6. Step 6: Final answer
    x = 269,905.64

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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.