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Finding the Fourth Proportional to 819,202, 1,229,010.42 and 228,226

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Solution

The fourth proportional to 819,202, 1,229,010.42 and 228,226 is: 342,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,202 : 1,229,010.42 = 228,226 : x
  2. Step 2: Convert to fraction form
    819,202/1,229,010.42 = 228,226/x
  3. Step 3: Cross multiply
    819,202x = 1,229,010.42 × 228,226
  4. Step 4: Simplify right side
    819,202x = 280,492,132,114.92
  5. Step 5: Solve for x
    x = 280,492,132,114.92/819,202
  6. Step 6: Final answer
    x = 342,396.79

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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.