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Finding the Fourth Proportional to 512,881.87, 707,739.90 and 283,436.41

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Solution

The fourth proportional to 512,881.87, 707,739.90 and 283,436.41 is: 391,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,881.87 : 707,739.90 = 283,436.41 : x
  2. Step 2: Convert to fraction form
    512,881.87/707,739.90 = 283,436.41/x
  3. Step 3: Cross multiply
    512,881.87x = 707,739.90 × 283,436.41
  4. Step 4: Simplify right side
    512,881.87x = 200,599,256,469.76
  5. Step 5: Solve for x
    x = 200,599,256,469.76/512,881.87
  6. Step 6: Final answer
    x = 391,121.75

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Why These Related Problems?

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