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Finding the Fourth Proportional to 322,796.20, 445,513.14 and 186,833.80

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Solution

The fourth proportional to 322,796.20, 445,513.14 and 186,833.80 is: 257,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,796.20 : 445,513.14 = 186,833.80 : x
  2. Step 2: Convert to fraction form
    322,796.20/445,513.14 = 186,833.80/x
  3. Step 3: Cross multiply
    322,796.20x = 445,513.14 × 186,833.80
  4. Step 4: Simplify right side
    322,796.20x = 83,236,912,896.13
  5. Step 5: Solve for x
    x = 83,236,912,896.13/322,796.20
  6. Step 6: Final answer
    x = 257,862.12

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1.5x scale

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.