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Finding the Fourth Proportional to 547,940.80, 822,064.80 and 267,467.20

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Solution

The fourth proportional to 547,940.80, 822,064.80 and 267,467.20 is: 401,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,940.80 : 822,064.80 = 267,467.20 : x
  2. Step 2: Convert to fraction form
    547,940.80/822,064.80 = 267,467.20/x
  3. Step 3: Cross multiply
    547,940.80x = 822,064.80 × 267,467.20
  4. Step 4: Simplify right side
    547,940.80x = 219,875,370,274.56
  5. Step 5: Solve for x
    x = 219,875,370,274.56/547,940.80
  6. Step 6: Final answer
    x = 401,275.78

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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.