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Finding the Fourth Proportional to 512,138.43, 769,203.54 and 417,438.09

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Solution

The fourth proportional to 512,138.43, 769,203.54 and 417,438.09 is: 626,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,138.43 : 769,203.54 = 417,438.09 : x
  2. Step 2: Convert to fraction form
    512,138.43/769,203.54 = 417,438.09/x
  3. Step 3: Cross multiply
    512,138.43x = 769,203.54 × 417,438.09
  4. Step 4: Simplify right side
    512,138.43x = 321,094,856,558.84
  5. Step 5: Solve for x
    x = 321,094,856,558.84/512,138.43
  6. Step 6: Final answer
    x = 626,968.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.