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Finding the Fourth Proportional to 493,838.21, 740,751.92 and 119,861.21

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Solution

The fourth proportional to 493,838.21, 740,751.92 and 119,861.21 is: 179,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,838.21 : 740,751.92 = 119,861.21 : x
  2. Step 2: Convert to fraction form
    493,838.21/740,751.92 = 119,861.21/x
  3. Step 3: Cross multiply
    493,838.21x = 740,751.92 × 119,861.21
  4. Step 4: Simplify right side
    493,838.21x = 88,787,421,992.40
  5. Step 5: Solve for x
    x = 88,787,421,992.40/493,838.21
  6. Step 6: Final answer
    x = 179,790.51

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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.