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Finding the Fourth Proportional to 493,083.45, 739,735.74 and 156,144.51

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Solution

The fourth proportional to 493,083.45, 739,735.74 and 156,144.51 is: 234,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,083.45 : 739,735.74 = 156,144.51 : x
  2. Step 2: Convert to fraction form
    493,083.45/739,735.74 = 156,144.51/x
  3. Step 3: Cross multiply
    493,083.45x = 739,735.74 × 156,144.51
  4. Step 4: Simplify right side
    493,083.45x = 115,505,674,651.79
  5. Step 5: Solve for x
    x = 115,505,674,651.79/493,083.45
  6. Step 6: Final answer
    x = 234,251.78

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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.