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Finding the Fourth Proportional to 284,502.44, 426,775.44 and 84,807.56

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Solution

The fourth proportional to 284,502.44, 426,775.44 and 84,807.56 is: 127,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,502.44 : 426,775.44 = 84,807.56 : x
  2. Step 2: Convert to fraction form
    284,502.44/426,775.44 = 84,807.56/x
  3. Step 3: Cross multiply
    284,502.44x = 426,775.44 × 84,807.56
  4. Step 4: Simplify right side
    284,502.44x = 36,193,783,734.33
  5. Step 5: Solve for x
    x = 36,193,783,734.33/284,502.44
  6. Step 6: Final answer
    x = 127,217.83

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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.