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Finding the Fourth Proportional to 283,866.75, 425,318.09 and 171,310.46

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Solution

The fourth proportional to 283,866.75, 425,318.09 and 171,310.46 is: 256,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,866.75 : 425,318.09 = 171,310.46 : x
  2. Step 2: Convert to fraction form
    283,866.75/425,318.09 = 171,310.46/x
  3. Step 3: Cross multiply
    283,866.75x = 425,318.09 × 171,310.46
  4. Step 4: Simplify right side
    283,866.75x = 72,861,434,661.08
  5. Step 5: Solve for x
    x = 72,861,434,661.08/283,866.75
  6. Step 6: Final answer
    x = 256,674.78

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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.