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Finding the Fourth Proportional to 322,098.36, 444,497.13 and 178,857.96

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Solution

The fourth proportional to 322,098.36, 444,497.13 and 178,857.96 is: 246,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,098.36 : 444,497.13 = 178,857.96 : x
  2. Step 2: Convert to fraction form
    322,098.36/444,497.13 = 178,857.96/x
  3. Step 3: Cross multiply
    322,098.36x = 444,497.13 × 178,857.96
  4. Step 4: Simplify right side
    322,098.36x = 79,501,849,897.65
  5. Step 5: Solve for x
    x = 79,501,849,897.65/322,098.36
  6. Step 6: Final answer
    x = 246,824.76

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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.