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Finding the Fourth Proportional to 322,115.94, 444,525.98 and 178,889.31

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Solution

The fourth proportional to 322,115.94, 444,525.98 and 178,889.31 is: 246,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,115.94 : 444,525.98 = 178,889.31 : x
  2. Step 2: Convert to fraction form
    322,115.94/444,525.98 = 178,889.31/x
  3. Step 3: Cross multiply
    322,115.94x = 444,525.98 × 178,889.31
  4. Step 4: Simplify right side
    322,115.94x = 79,520,944,944.83
  5. Step 5: Solve for x
    x = 79,520,944,944.83/322,115.94
  6. Step 6: Final answer
    x = 246,870.57

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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.