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Finding the Fourth Proportional to 512,096.77, 706,959.26 and 374,120.97

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Solution

The fourth proportional to 512,096.77, 706,959.26 and 374,120.97 is: 516,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,096.77 : 706,959.26 = 374,120.97 : x
  2. Step 2: Convert to fraction form
    512,096.77/706,959.26 = 374,120.97/x
  3. Step 3: Cross multiply
    512,096.77x = 706,959.26 × 374,120.97
  4. Step 4: Simplify right side
    512,096.77x = 264,488,284,101.68
  5. Step 5: Solve for x
    x = 264,488,284,101.68/512,096.77
  6. Step 6: Final answer
    x = 516,481.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.