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Finding the Fourth Proportional to 325,163.42, 487,923.64 and 165,253.15

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Solution

The fourth proportional to 325,163.42, 487,923.64 and 165,253.15 is: 247,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,163.42 : 487,923.64 = 165,253.15 : x
  2. Step 2: Convert to fraction form
    325,163.42/487,923.64 = 165,253.15/x
  3. Step 3: Cross multiply
    325,163.42x = 487,923.64 × 165,253.15
  4. Step 4: Simplify right side
    325,163.42x = 80,630,915,203.58
  5. Step 5: Solve for x
    x = 80,630,915,203.58/325,163.42
  6. Step 6: Final answer
    x = 247,970.44

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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.