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Finding the Fourth Proportional to 322,956, 484,532.64 and 165,296.16

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Solution

The fourth proportional to 322,956, 484,532.64 and 165,296.16 is: 247,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,956 : 484,532.64 = 165,296.16 : x
  2. Step 2: Convert to fraction form
    322,956/484,532.64 = 165,296.16/x
  3. Step 3: Cross multiply
    322,956x = 484,532.64 × 165,296.16
  4. Step 4: Simplify right side
    322,956x = 80,091,384,786.66
  5. Step 5: Solve for x
    x = 80,091,384,786.66/322,956
  6. Step 6: Final answer
    x = 247,994.73

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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.