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Finding the Fourth Proportional to 322,971.72, 484,534.26 and 109,753.80

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Solution

The fourth proportional to 322,971.72, 484,534.26 and 109,753.80 is: 164,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,971.72 : 484,534.26 = 109,753.80 : x
  2. Step 2: Convert to fraction form
    322,971.72/484,534.26 = 109,753.80/x
  3. Step 3: Cross multiply
    322,971.72x = 484,534.26 × 109,753.80
  4. Step 4: Simplify right side
    322,971.72x = 53,179,476,265.19
  5. Step 5: Solve for x
    x = 53,179,476,265.19/322,971.72
  6. Step 6: Final answer
    x = 164,656.76

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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.