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Finding the Fourth Proportional to 411,128.52, 567,452.16 and 267,638.64

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Solution

The fourth proportional to 411,128.52, 567,452.16 and 267,638.64 is: 369,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,128.52 : 567,452.16 = 267,638.64 : x
  2. Step 2: Convert to fraction form
    411,128.52/567,452.16 = 267,638.64/x
  3. Step 3: Cross multiply
    411,128.52x = 567,452.16 × 267,638.64
  4. Step 4: Simplify right side
    411,128.52x = 151,872,124,367.46
  5. Step 5: Solve for x
    x = 151,872,124,367.46/411,128.52
  6. Step 6: Final answer
    x = 369,403.04

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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.