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Finding the Fourth Proportional to 321,731.49, 444,001.32 and 194,382.48

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Solution

The fourth proportional to 321,731.49, 444,001.32 and 194,382.48 is: 268,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,731.49 : 444,001.32 = 194,382.48 : x
  2. Step 2: Convert to fraction form
    321,731.49/444,001.32 = 194,382.48/x
  3. Step 3: Cross multiply
    321,731.49x = 444,001.32 × 194,382.48
  4. Step 4: Simplify right side
    321,731.49x = 86,306,077,704.87
  5. Step 5: Solve for x
    x = 86,306,077,704.87/321,731.49
  6. Step 6: Final answer
    x = 268,254.99

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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.