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Finding the Fourth Proportional to 512,970.66, 769,469.14 and 243,035.60

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Solution

The fourth proportional to 512,970.66, 769,469.14 and 243,035.60 is: 364,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,970.66 : 769,469.14 = 243,035.60 : x
  2. Step 2: Convert to fraction form
    512,970.66/769,469.14 = 243,035.60/x
  3. Step 3: Cross multiply
    512,970.66x = 769,469.14 × 243,035.60
  4. Step 4: Simplify right side
    512,970.66x = 187,008,394,121.38
  5. Step 5: Solve for x
    x = 187,008,394,121.38/512,970.66
  6. Step 6: Final answer
    x = 364,559.63

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Why These Related Problems?

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