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Finding the Fourth Proportional to 322,285.28, 444,765.29 and 186,361.88

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Solution

The fourth proportional to 322,285.28, 444,765.29 and 186,361.88 is: 257,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,285.28 : 444,765.29 = 186,361.88 : x
  2. Step 2: Convert to fraction form
    322,285.28/444,765.29 = 186,361.88/x
  3. Step 3: Cross multiply
    322,285.28x = 444,765.29 × 186,361.88
  4. Step 4: Simplify right side
    322,285.28x = 82,887,292,447.51
  5. Step 5: Solve for x
    x = 82,887,292,447.51/322,285.28
  6. Step 6: Final answer
    x = 257,186.10

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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.