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Finding the Fourth Proportional to 726,578, 1,090,042 and 227,942

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Solution

The fourth proportional to 726,578, 1,090,042 and 227,942 is: 341,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,578 : 1,090,042 = 227,942 : x
  2. Step 2: Convert to fraction form
    726,578/1,090,042 = 227,942/x
  3. Step 3: Cross multiply
    726,578x = 1,090,042 × 227,942
  4. Step 4: Simplify right side
    726,578x = 248,466,353,564
  5. Step 5: Solve for x
    x = 248,466,353,564/726,578
  6. Step 6: Final answer
    x = 341,967.90

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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.