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Finding the Fourth Proportional to 284,575.31, 426,879.67 and 107,083.85

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Solution

The fourth proportional to 284,575.31, 426,879.67 and 107,083.85 is: 160,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,575.31 : 426,879.67 = 107,083.85 : x
  2. Step 2: Convert to fraction form
    284,575.31/426,879.67 = 107,083.85/x
  3. Step 3: Cross multiply
    284,575.31x = 426,879.67 × 107,083.85
  4. Step 4: Simplify right side
    284,575.31x = 45,711,919,349.82
  5. Step 5: Solve for x
    x = 45,711,919,349.82/284,575.31
  6. Step 6: Final answer
    x = 160,632.07

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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.