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Finding the Fourth Proportional to 267,843.52, 401,762.40 and 65,441.44

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Solution

The fourth proportional to 267,843.52, 401,762.40 and 65,441.44 is: 98,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,843.52 : 401,762.40 = 65,441.44 : x
  2. Step 2: Convert to fraction form
    267,843.52/401,762.40 = 65,441.44/x
  3. Step 3: Cross multiply
    267,843.52x = 401,762.40 × 65,441.44
  4. Step 4: Simplify right side
    267,843.52x = 26,291,909,993.86
  5. Step 5: Solve for x
    x = 26,291,909,993.86/267,843.52
  6. Step 6: Final answer
    x = 98,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.