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Finding the Fourth Proportional to 819,074, 1,228,611 and 228,098

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Solution

The fourth proportional to 819,074, 1,228,611 and 228,098 is: 342,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,074 : 1,228,611 = 228,098 : x
  2. Step 2: Convert to fraction form
    819,074/1,228,611 = 228,098/x
  3. Step 3: Cross multiply
    819,074x = 1,228,611 × 228,098
  4. Step 4: Simplify right side
    819,074x = 280,243,711,878
  5. Step 5: Solve for x
    x = 280,243,711,878/819,074
  6. Step 6: Final answer
    x = 342,147

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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.