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Finding the Fourth Proportional to 331,634.66, 457,513.97 and 216,713.81

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Solution

The fourth proportional to 331,634.66, 457,513.97 and 216,713.81 is: 298,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634.66 : 457,513.97 = 216,713.81 : x
  2. Step 2: Convert to fraction form
    331,634.66/457,513.97 = 216,713.81/x
  3. Step 3: Cross multiply
    331,634.66x = 457,513.97 × 216,713.81
  4. Step 4: Simplify right side
    331,634.66x = 99,149,593,821.14
  5. Step 5: Solve for x
    x = 99,149,593,821.14/331,634.66
  6. Step 6: Final answer
    x = 298,972.36

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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.