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Finding the Fourth Proportional to 322,018.23, 444,362.97 and 178,767.18

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Solution

The fourth proportional to 322,018.23, 444,362.97 and 178,767.18 is: 246,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,018.23 : 444,362.97 = 178,767.18 : x
  2. Step 2: Convert to fraction form
    322,018.23/444,362.97 = 178,767.18/x
  3. Step 3: Cross multiply
    322,018.23x = 444,362.97 × 178,767.18
  4. Step 4: Simplify right side
    322,018.23x = 79,437,515,043.32
  5. Step 5: Solve for x
    x = 79,437,515,043.32/322,018.23
  6. Step 6: Final answer
    x = 246,686.39

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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.