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Finding the Fourth Proportional to 321,505.29, 481,311.97 and 214,624.17

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Solution

The fourth proportional to 321,505.29, 481,311.97 and 214,624.17 is: 321,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,505.29 : 481,311.97 = 214,624.17 : x
  2. Step 2: Convert to fraction form
    321,505.29/481,311.97 = 214,624.17/x
  3. Step 3: Cross multiply
    321,505.29x = 481,311.97 × 214,624.17
  4. Step 4: Simplify right side
    321,505.29x = 103,301,181,535.75
  5. Step 5: Solve for x
    x = 103,301,181,535.75/321,505.29
  6. Step 6: Final answer
    x = 321,304.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.