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Finding the Fourth Proportional to 512,213.20, 767,340.60 and 275,477.20

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Solution

The fourth proportional to 512,213.20, 767,340.60 and 275,477.20 is: 412,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,213.20 : 767,340.60 = 275,477.20 : x
  2. Step 2: Convert to fraction form
    512,213.20/767,340.60 = 275,477.20/x
  3. Step 3: Cross multiply
    512,213.20x = 767,340.60 × 275,477.20
  4. Step 4: Simplify right side
    512,213.20x = 211,384,839,934.32
  5. Step 5: Solve for x
    x = 211,384,839,934.32/512,213.20
  6. Step 6: Final answer
    x = 412,689.17

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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.