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Finding the Fourth Proportional to 322,086.34, 444,520.14 and 194,762.84

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Solution

The fourth proportional to 322,086.34, 444,520.14 and 194,762.84 is: 268,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,086.34 : 444,520.14 = 194,762.84 : x
  2. Step 2: Convert to fraction form
    322,086.34/444,520.14 = 194,762.84/x
  3. Step 3: Cross multiply
    322,086.34x = 444,520.14 × 194,762.84
  4. Step 4: Simplify right side
    322,086.34x = 86,576,004,903.60
  5. Step 5: Solve for x
    x = 86,576,004,903.60/322,086.34
  6. Step 6: Final answer
    x = 268,797.51

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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.