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Finding the Fourth Proportional to 512,175.26, 706,834.56 and 285,820.76

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Solution

The fourth proportional to 512,175.26, 706,834.56 and 285,820.76 is: 394,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,175.26 : 706,834.56 = 285,820.76 : x
  2. Step 2: Convert to fraction form
    512,175.26/706,834.56 = 285,820.76/x
  3. Step 3: Cross multiply
    512,175.26x = 706,834.56 × 285,820.76
  4. Step 4: Simplify right side
    512,175.26x = 202,027,986,170.19
  5. Step 5: Solve for x
    x = 202,027,986,170.19/512,175.26
  6. Step 6: Final answer
    x = 394,450.89

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