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Finding the Fourth Proportional to 512,216.40, 766,769.40 and 456,229.20

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Solution

The fourth proportional to 512,216.40, 766,769.40 and 456,229.20 is: 682,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,216.40 : 766,769.40 = 456,229.20 : x
  2. Step 2: Convert to fraction form
    512,216.40/766,769.40 = 456,229.20/x
  3. Step 3: Cross multiply
    512,216.40x = 766,769.40 × 456,229.20
  4. Step 4: Simplify right side
    512,216.40x = 349,822,589,946.48
  5. Step 5: Solve for x
    x = 349,822,589,946.48/512,216.40
  6. Step 6: Final answer
    x = 682,958.59

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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.