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Finding the Fourth Proportional to 471,735.63, 650,824.20 and 267,668.37

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Solution

The fourth proportional to 471,735.63, 650,824.20 and 267,668.37 is: 369,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,735.63 : 650,824.20 = 267,668.37 : x
  2. Step 2: Convert to fraction form
    471,735.63/650,824.20 = 267,668.37/x
  3. Step 3: Cross multiply
    471,735.63x = 650,824.20 × 267,668.37
  4. Step 4: Simplify right side
    471,735.63x = 174,205,052,770.55
  5. Step 5: Solve for x
    x = 174,205,052,770.55/471,735.63
  6. Step 6: Final answer
    x = 369,285.34

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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.