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Finding the Fourth Proportional to 471,122.56, 650,166.36 and 269,957.44

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Solution

The fourth proportional to 471,122.56, 650,166.36 and 269,957.44 is: 372,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,122.56 : 650,166.36 = 269,957.44 : x
  2. Step 2: Convert to fraction form
    471,122.56/650,166.36 = 269,957.44/x
  3. Step 3: Cross multiply
    471,122.56x = 650,166.36 × 269,957.44
  4. Step 4: Simplify right side
    471,122.56x = 175,517,246,119.72
  5. Step 5: Solve for x
    x = 175,517,246,119.72/471,122.56
  6. Step 6: Final answer
    x = 372,551.14

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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.