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Finding the Fourth Proportional to 489,109.52, 733,871.64 and 267,234.32

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Solution

The fourth proportional to 489,109.52, 733,871.64 and 267,234.32 is: 400,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,109.52 : 733,871.64 = 267,234.32 : x
  2. Step 2: Convert to fraction form
    489,109.52/733,871.64 = 267,234.32/x
  3. Step 3: Cross multiply
    489,109.52x = 733,871.64 × 267,234.32
  4. Step 4: Simplify right side
    489,109.52x = 196,115,688,682.69
  5. Step 5: Solve for x
    x = 196,115,688,682.69/489,109.52
  6. Step 6: Final answer
    x = 400,964.78

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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.