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Finding the Fourth Proportional to 323,367.84, 484,157.52 and 165,255.84

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Solution

The fourth proportional to 323,367.84, 484,157.52 and 165,255.84 is: 247,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,367.84 : 484,157.52 = 165,255.84 : x
  2. Step 2: Convert to fraction form
    323,367.84/484,157.52 = 165,255.84/x
  3. Step 3: Cross multiply
    323,367.84x = 484,157.52 × 165,255.84
  4. Step 4: Simplify right side
    323,367.84x = 80,009,857,659.92
  5. Step 5: Solve for x
    x = 80,009,857,659.92/323,367.84
  6. Step 6: Final answer
    x = 247,426.76

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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.