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Finding the Fourth Proportional to 493,624.41, 681,269.32 and 284,067.98

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Solution

The fourth proportional to 493,624.41, 681,269.32 and 284,067.98 is: 392,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624.41 : 681,269.32 = 284,067.98 : x
  2. Step 2: Convert to fraction form
    493,624.41/681,269.32 = 284,067.98/x
  3. Step 3: Cross multiply
    493,624.41x = 681,269.32 × 284,067.98
  4. Step 4: Simplify right side
    493,624.41x = 193,526,799,568.37
  5. Step 5: Solve for x
    x = 193,526,799,568.37/493,624.41
  6. Step 6: Final answer
    x = 392,052.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.