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Finding the Fourth Proportional to 512,077.17, 706,665.96 and 285,722.67

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Solution

The fourth proportional to 512,077.17, 706,665.96 and 285,722.67 is: 394,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,077.17 : 706,665.96 = 285,722.67 : x
  2. Step 2: Convert to fraction form
    512,077.17/706,665.96 = 285,722.67/x
  3. Step 3: Cross multiply
    512,077.17x = 706,665.96 × 285,722.67
  4. Step 4: Simplify right side
    512,077.17x = 201,910,484,889.31
  5. Step 5: Solve for x
    x = 201,910,484,889.31/512,077.17
  6. Step 6: Final answer
    x = 394,296.99

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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.