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Finding the Fourth Proportional to 493,846.74, 740,694.38 and 156,843.81

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Solution

The fourth proportional to 493,846.74, 740,694.38 and 156,843.81 is: 235,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,846.74 : 740,694.38 = 156,843.81 : x
  2. Step 2: Convert to fraction form
    493,846.74/740,694.38 = 156,843.81/x
  3. Step 3: Cross multiply
    493,846.74x = 740,694.38 × 156,843.81
  4. Step 4: Simplify right side
    493,846.74x = 116,173,327,820.57
  5. Step 5: Solve for x
    x = 116,173,327,820.57/493,846.74
  6. Step 6: Final answer
    x = 235,241.66

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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.