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Finding the Fourth Proportional to 897,161, 1,238,077.92 and 494,753

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Solution

The fourth proportional to 897,161, 1,238,077.92 and 494,753 is: 682,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,161 : 1,238,077.92 = 494,753 : x
  2. Step 2: Convert to fraction form
    897,161/1,238,077.92 = 494,753/x
  3. Step 3: Cross multiply
    897,161x = 1,238,077.92 × 494,753
  4. Step 4: Simplify right side
    897,161x = 612,542,765,153.76
  5. Step 5: Solve for x
    x = 612,542,765,153.76/897,161
  6. Step 6: Final answer
    x = 682,756.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.