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Finding the Fourth Proportional to 512,186.04, 767,614.73 and 343,453.52

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Solution

The fourth proportional to 512,186.04, 767,614.73 and 343,453.52 is: 514,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,186.04 : 767,614.73 = 343,453.52 : x
  2. Step 2: Convert to fraction form
    512,186.04/767,614.73 = 343,453.52/x
  3. Step 3: Cross multiply
    512,186.04x = 767,614.73 × 343,453.52
  4. Step 4: Simplify right side
    512,186.04x = 263,639,981,224.12
  5. Step 5: Solve for x
    x = 263,639,981,224.12/512,186.04
  6. Step 6: Final answer
    x = 514,734.80

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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.