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Finding the Fourth Proportional to 322,193.12, 444,661.44 and 194,938.88

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Solution

The fourth proportional to 322,193.12, 444,661.44 and 194,938.88 is: 269,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,193.12 : 444,661.44 = 194,938.88 : x
  2. Step 2: Convert to fraction form
    322,193.12/444,661.44 = 194,938.88/x
  3. Step 3: Cross multiply
    322,193.12x = 444,661.44 × 194,938.88
  4. Step 4: Simplify right side
    322,193.12x = 86,681,803,092.79
  5. Step 5: Solve for x
    x = 86,681,803,092.79/322,193.12
  6. Step 6: Final answer
    x = 269,036.79

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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.