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Finding the Fourth Proportional to 322,957, 484,534.14 and 165,297.16

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Solution

The fourth proportional to 322,957, 484,534.14 and 165,297.16 is: 247,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,957 : 484,534.14 = 165,297.16 : x
  2. Step 2: Convert to fraction form
    322,957/484,534.14 = 165,297.16/x
  3. Step 3: Cross multiply
    322,957x = 484,534.14 × 165,297.16
  4. Step 4: Simplify right side
    322,957x = 80,092,117,265.04
  5. Step 5: Solve for x
    x = 80,092,117,265.04/322,957
  6. Step 6: Final answer
    x = 247,996.23

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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.