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Finding the Fourth Proportional to 512,183.79, 767,611.35 and 343,451.27

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Solution

The fourth proportional to 512,183.79, 767,611.35 and 343,451.27 is: 514,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,183.79 : 767,611.35 = 343,451.27 : x
  2. Step 2: Convert to fraction form
    512,183.79/767,611.35 = 343,451.27/x
  3. Step 3: Cross multiply
    512,183.79x = 767,611.35 × 343,451.27
  4. Step 4: Simplify right side
    512,183.79x = 263,637,094,942.94
  5. Step 5: Solve for x
    x = 263,637,094,942.94/512,183.79
  6. Step 6: Final answer
    x = 514,731.43

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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.