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Finding the Fourth Proportional to 493,972.72, 681,683.07 and 267,618.22

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Solution

The fourth proportional to 493,972.72, 681,683.07 and 267,618.22 is: 369,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,972.72 : 681,683.07 = 267,618.22 : x
  2. Step 2: Convert to fraction form
    493,972.72/681,683.07 = 267,618.22/x
  3. Step 3: Cross multiply
    493,972.72x = 681,683.07 × 267,618.22
  4. Step 4: Simplify right side
    493,972.72x = 182,430,809,797.54
  5. Step 5: Solve for x
    x = 182,430,809,797.54/493,972.72
  6. Step 6: Final answer
    x = 369,313.53

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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.