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Finding the Fourth Proportional to 463,134.60, 694,529.10 and 182,593.80

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Solution

The fourth proportional to 463,134.60, 694,529.10 and 182,593.80 is: 273,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,134.60 : 694,529.10 = 182,593.80 : x
  2. Step 2: Convert to fraction form
    463,134.60/694,529.10 = 182,593.80/x
  3. Step 3: Cross multiply
    463,134.60x = 694,529.10 × 182,593.80
  4. Step 4: Simplify right side
    463,134.60x = 126,816,707,579.58
  5. Step 5: Solve for x
    x = 126,816,707,579.58/463,134.60
  6. Step 6: Final answer
    x = 273,822.57

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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.