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Finding the Fourth Proportional to 471,132, 650,059.44 and 267,136.86

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Solution

The fourth proportional to 471,132, 650,059.44 and 267,136.86 is: 368,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,132 : 650,059.44 = 267,136.86 : x
  2. Step 2: Convert to fraction form
    471,132/650,059.44 = 267,136.86/x
  3. Step 3: Cross multiply
    471,132x = 650,059.44 × 267,136.86
  4. Step 4: Simplify right side
    471,132x = 173,654,837,614.96
  5. Step 5: Solve for x
    x = 173,654,837,614.96/471,132
  6. Step 6: Final answer
    x = 368,590.62

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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.