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Finding the Fourth Proportional to 321,218.06, 481,301.46 and 194,474.12

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Solution

The fourth proportional to 321,218.06, 481,301.46 and 194,474.12 is: 291,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,218.06 : 481,301.46 = 194,474.12 : x
  2. Step 2: Convert to fraction form
    321,218.06/481,301.46 = 194,474.12/x
  3. Step 3: Cross multiply
    321,218.06x = 481,301.46 × 194,474.12
  4. Step 4: Simplify right side
    321,218.06x = 93,600,675,481.71
  5. Step 5: Solve for x
    x = 93,600,675,481.71/321,218.06
  6. Step 6: Final answer
    x = 291,392.95

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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.