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Finding the Fourth Proportional to 322,597, 445,183.86 and 181,285

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Solution

The fourth proportional to 322,597, 445,183.86 and 181,285 is: 250,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,597 : 445,183.86 = 181,285 : x
  2. Step 2: Convert to fraction form
    322,597/445,183.86 = 181,285/x
  3. Step 3: Cross multiply
    322,597x = 445,183.86 × 181,285
  4. Step 4: Simplify right side
    322,597x = 80,705,156,060.10
  5. Step 5: Solve for x
    x = 80,705,156,060.10/322,597
  6. Step 6: Final answer
    x = 250,173.30

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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.