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Finding the Fourth Proportional to 552,792.28, 829,261.38 and 192,969.61

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Solution

The fourth proportional to 552,792.28, 829,261.38 and 192,969.61 is: 289,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,792.28 : 829,261.38 = 192,969.61 : x
  2. Step 2: Convert to fraction form
    552,792.28/829,261.38 = 192,969.61/x
  3. Step 3: Cross multiply
    552,792.28x = 829,261.38 × 192,969.61
  4. Step 4: Simplify right side
    552,792.28x = 160,022,245,086.66
  5. Step 5: Solve for x
    x = 160,022,245,086.66/552,792.28
  6. Step 6: Final answer
    x = 289,479.88

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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.