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Finding the Fourth Proportional to 892,540, 1,338,810 and 227,692

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Solution

The fourth proportional to 892,540, 1,338,810 and 227,692 is: 341,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,540 : 1,338,810 = 227,692 : x
  2. Step 2: Convert to fraction form
    892,540/1,338,810 = 227,692/x
  3. Step 3: Cross multiply
    892,540x = 1,338,810 × 227,692
  4. Step 4: Simplify right side
    892,540x = 304,836,326,520
  5. Step 5: Solve for x
    x = 304,836,326,520/892,540
  6. Step 6: Final answer
    x = 341,538

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Why These Related Problems?

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