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Finding the Fourth Proportional to 512,809.92, 769,309.56 and 256,777.56

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Solution

The fourth proportional to 512,809.92, 769,309.56 and 256,777.56 is: 385,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,809.92 : 769,309.56 = 256,777.56 : x
  2. Step 2: Convert to fraction form
    512,809.92/769,309.56 = 256,777.56/x
  3. Step 3: Cross multiply
    512,809.92x = 769,309.56 × 256,777.56
  4. Step 4: Simplify right side
    512,809.92x = 197,541,431,701.47
  5. Step 5: Solve for x
    x = 197,541,431,701.47/512,809.92
  6. Step 6: Final answer
    x = 385,213.75

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1.5x scale

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.