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Finding the Fourth Proportional to 280,824, 421,236 and 83,832

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Solution

The fourth proportional to 280,824, 421,236 and 83,832 is: 125,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,824 : 421,236 = 83,832 : x
  2. Step 2: Convert to fraction form
    280,824/421,236 = 83,832/x
  3. Step 3: Cross multiply
    280,824x = 421,236 × 83,832
  4. Step 4: Simplify right side
    280,824x = 35,313,056,352
  5. Step 5: Solve for x
    x = 35,313,056,352/280,824
  6. Step 6: Final answer
    x = 125,748

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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.