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Finding the Fourth Proportional to 512,232.90, 766,794.15 and 456,245.70

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Solution

The fourth proportional to 512,232.90, 766,794.15 and 456,245.70 is: 682,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,232.90 : 766,794.15 = 456,245.70 : x
  2. Step 2: Convert to fraction form
    512,232.90/766,794.15 = 456,245.70/x
  3. Step 3: Cross multiply
    512,232.90x = 766,794.15 × 456,245.70
  4. Step 4: Simplify right side
    512,232.90x = 349,846,533,722.66
  5. Step 5: Solve for x
    x = 349,846,533,722.66/512,232.90
  6. Step 6: Final answer
    x = 682,983.33

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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.