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Finding the Fourth Proportional to 259,328, 388,992 and 84,224

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Solution

The fourth proportional to 259,328, 388,992 and 84,224 is: 126,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,328 : 388,992 = 84,224 : x
  2. Step 2: Convert to fraction form
    259,328/388,992 = 84,224/x
  3. Step 3: Cross multiply
    259,328x = 388,992 × 84,224
  4. Step 4: Simplify right side
    259,328x = 32,762,462,208
  5. Step 5: Solve for x
    x = 32,762,462,208/259,328
  6. Step 6: Final answer
    x = 126,336

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.