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Finding the Fourth Proportional to 408,993.50, 564,264.92 and 236,817.47

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Solution

The fourth proportional to 408,993.50, 564,264.92 and 236,817.47 is: 326,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,993.50 : 564,264.92 = 236,817.47 : x
  2. Step 2: Convert to fraction form
    408,993.50/564,264.92 = 236,817.47/x
  3. Step 3: Cross multiply
    408,993.50x = 564,264.92 × 236,817.47
  4. Step 4: Simplify right side
    408,993.50x = 133,627,792,766.86
  5. Step 5: Solve for x
    x = 133,627,792,766.86/408,993.50
  6. Step 6: Final answer
    x = 326,723.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.