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Finding the Fourth Proportional to 284,070.43, 426,163.97 and 84,373.03

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Solution

The fourth proportional to 284,070.43, 426,163.97 and 84,373.03 is: 126,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,070.43 : 426,163.97 = 84,373.03 : x
  2. Step 2: Convert to fraction form
    284,070.43/426,163.97 = 84,373.03/x
  3. Step 3: Cross multiply
    284,070.43x = 426,163.97 × 84,373.03
  4. Step 4: Simplify right side
    284,070.43x = 35,956,745,425.73
  5. Step 5: Solve for x
    x = 35,956,745,425.73/284,070.43
  6. Step 6: Final answer
    x = 126,576.87

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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.