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Finding the Fourth Proportional to 322,169.34, 444,642.15 and 231,824.37

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Solution

The fourth proportional to 322,169.34, 444,642.15 and 231,824.37 is: 319,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,169.34 : 444,642.15 = 231,824.37 : x
  2. Step 2: Convert to fraction form
    322,169.34/444,642.15 = 231,824.37/x
  3. Step 3: Cross multiply
    322,169.34x = 444,642.15 × 231,824.37
  4. Step 4: Simplify right side
    322,169.34x = 103,078,886,299.20
  5. Step 5: Solve for x
    x = 103,078,886,299.20/322,169.34
  6. Step 6: Final answer
    x = 319,952.50

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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.