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Finding the Fourth Proportional to 489,099.52, 733,856.64 and 267,224.32

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Solution

The fourth proportional to 489,099.52, 733,856.64 and 267,224.32 is: 400,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,099.52 : 733,856.64 = 267,224.32 : x
  2. Step 2: Convert to fraction form
    489,099.52/733,856.64 = 267,224.32/x
  3. Step 3: Cross multiply
    489,099.52x = 733,856.64 × 267,224.32
  4. Step 4: Simplify right side
    489,099.52x = 196,104,341,601.49
  5. Step 5: Solve for x
    x = 196,104,341,601.49/489,099.52
  6. Step 6: Final answer
    x = 400,949.77

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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.