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Finding the Fourth Proportional to 471,705.70, 650,964.55 and 267,737.54

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Solution

The fourth proportional to 471,705.70, 650,964.55 and 267,737.54 is: 369,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,705.70 : 650,964.55 = 267,737.54 : x
  2. Step 2: Convert to fraction form
    471,705.70/650,964.55 = 267,737.54/x
  3. Step 3: Cross multiply
    471,705.70x = 650,964.55 × 267,737.54
  4. Step 4: Simplify right side
    471,705.70x = 174,287,647,244.21
  5. Step 5: Solve for x
    x = 174,287,647,244.21/471,705.70
  6. Step 6: Final answer
    x = 369,483.87

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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.