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Finding the Fourth Proportional to 386,782.66, 580,032.24 and 133,997.86

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Solution

The fourth proportional to 386,782.66, 580,032.24 and 133,997.86 is: 200,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782.66 : 580,032.24 = 133,997.86 : x
  2. Step 2: Convert to fraction form
    386,782.66/580,032.24 = 133,997.86/x
  3. Step 3: Cross multiply
    386,782.66x = 580,032.24 × 133,997.86
  4. Step 4: Simplify right side
    386,782.66x = 77,723,078,891.01
  5. Step 5: Solve for x
    x = 77,723,078,891.01/386,782.66
  6. Step 6: Final answer
    x = 200,947.68

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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.