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Finding the Fourth Proportional to 982,135, 1,473,198.30 and 272,161

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Solution

The fourth proportional to 982,135, 1,473,198.30 and 272,161 is: 408,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,135 : 1,473,198.30 = 272,161 : x
  2. Step 2: Convert to fraction form
    982,135/1,473,198.30 = 272,161/x
  3. Step 3: Cross multiply
    982,135x = 1,473,198.30 × 272,161
  4. Step 4: Simplify right side
    982,135x = 400,947,122,526.30
  5. Step 5: Solve for x
    x = 400,947,122,526.30/982,135
  6. Step 6: Final answer
    x = 408,240.34

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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.