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Finding the Fourth Proportional to 512,012.96, 706,579.92 and 285,668

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Solution

The fourth proportional to 512,012.96, 706,579.92 and 285,668 is: 394,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,012.96 : 706,579.92 = 285,668 : x
  2. Step 2: Convert to fraction form
    512,012.96/706,579.92 = 285,668/x
  3. Step 3: Cross multiply
    512,012.96x = 706,579.92 × 285,668
  4. Step 4: Simplify right side
    512,012.96x = 201,847,272,586.56
  5. Step 5: Solve for x
    x = 201,847,272,586.56/512,012.96
  6. Step 6: Final answer
    x = 394,222.98

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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.