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Finding the Fourth Proportional to 322,184.54, 444,602.36 and 178,953.77

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Solution

The fourth proportional to 322,184.54, 444,602.36 and 178,953.77 is: 246,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,184.54 : 444,602.36 = 178,953.77 : x
  2. Step 2: Convert to fraction form
    322,184.54/444,602.36 = 178,953.77/x
  3. Step 3: Cross multiply
    322,184.54x = 444,602.36 × 178,953.77
  4. Step 4: Simplify right side
    322,184.54x = 79,563,266,697.27
  5. Step 5: Solve for x
    x = 79,563,266,697.27/322,184.54
  6. Step 6: Final answer
    x = 246,949.37

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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.