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Finding the Fourth Proportional to 471,563.82, 650,825.28 and 267,665.22

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Solution

The fourth proportional to 471,563.82, 650,825.28 and 267,665.22 is: 369,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,563.82 : 650,825.28 = 267,665.22 : x
  2. Step 2: Convert to fraction form
    471,563.82/650,825.28 = 267,665.22/x
  3. Step 3: Cross multiply
    471,563.82x = 650,825.28 × 267,665.22
  4. Step 4: Simplify right side
    471,563.82x = 174,203,291,752.76
  5. Step 5: Solve for x
    x = 174,203,291,752.76/471,563.82
  6. Step 6: Final answer
    x = 369,416.15

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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.