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Finding the Fourth Proportional to 411,137.52, 567,464.58 and 267,647.64

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Solution

The fourth proportional to 411,137.52, 567,464.58 and 267,647.64 is: 369,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,137.52 : 567,464.58 = 267,647.64 : x
  2. Step 2: Convert to fraction form
    411,137.52/567,464.58 = 267,647.64/x
  3. Step 3: Cross multiply
    411,137.52x = 567,464.58 × 267,647.64
  4. Step 4: Simplify right side
    411,137.52x = 151,880,555,620.59
  5. Step 5: Solve for x
    x = 151,880,555,620.59/411,137.52
  6. Step 6: Final answer
    x = 369,415.46

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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.