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Finding the Fourth Proportional to 653,952.92, 981,117 and 274,678.60

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Solution

The fourth proportional to 653,952.92, 981,117 and 274,678.60 is: 412,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,952.92 : 981,117 = 274,678.60 : x
  2. Step 2: Convert to fraction form
    653,952.92/981,117 = 274,678.60/x
  3. Step 3: Cross multiply
    653,952.92x = 981,117 × 274,678.60
  4. Step 4: Simplify right side
    653,952.92x = 269,491,843,996.20
  5. Step 5: Solve for x
    x = 269,491,843,996.20/653,952.92
  6. Step 6: Final answer
    x = 412,096.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.