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Finding the Fourth Proportional to 322,219.32, 444,786.66 and 214,750.14

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Solution

The fourth proportional to 322,219.32, 444,786.66 and 214,750.14 is: 296,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,219.32 : 444,786.66 = 214,750.14 : x
  2. Step 2: Convert to fraction form
    322,219.32/444,786.66 = 214,750.14/x
  3. Step 3: Cross multiply
    322,219.32x = 444,786.66 × 214,750.14
  4. Step 4: Simplify right side
    322,219.32x = 95,517,997,505.13
  5. Step 5: Solve for x
    x = 95,517,997,505.13/322,219.32
  6. Step 6: Final answer
    x = 296,437.83

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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.