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Finding the Fourth Proportional to 493,842.74, 740,764.11 and 119,863.22

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Solution

The fourth proportional to 493,842.74, 740,764.11 and 119,863.22 is: 179,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,842.74 : 740,764.11 = 119,863.22 : x
  2. Step 2: Convert to fraction form
    493,842.74/740,764.11 = 119,863.22/x
  3. Step 3: Cross multiply
    493,842.74x = 740,764.11 × 119,863.22
  4. Step 4: Simplify right side
    493,842.74x = 88,790,371,485.03
  5. Step 5: Solve for x
    x = 88,790,371,485.03/493,842.74
  6. Step 6: Final answer
    x = 179,794.83

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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.