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Finding the Fourth Proportional to 323,286.64, 446,103.52 and 180,060

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Solution

The fourth proportional to 323,286.64, 446,103.52 and 180,060 is: 248,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,286.64 : 446,103.52 = 180,060 : x
  2. Step 2: Convert to fraction form
    323,286.64/446,103.52 = 180,060/x
  3. Step 3: Cross multiply
    323,286.64x = 446,103.52 × 180,060
  4. Step 4: Simplify right side
    323,286.64x = 80,325,399,811.20
  5. Step 5: Solve for x
    x = 80,325,399,811.20/323,286.64
  6. Step 6: Final answer
    x = 248,464.95

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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.