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Finding the Fourth Proportional to 321,901.44, 444,218.88 and 178,661.76

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Solution

The fourth proportional to 321,901.44, 444,218.88 and 178,661.76 is: 246,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,901.44 : 444,218.88 = 178,661.76 : x
  2. Step 2: Convert to fraction form
    321,901.44/444,218.88 = 178,661.76/x
  3. Step 3: Cross multiply
    321,901.44x = 444,218.88 × 178,661.76
  4. Step 4: Simplify right side
    321,901.44x = 79,364,926,926.03
  5. Step 5: Solve for x
    x = 79,364,926,926.03/321,901.44
  6. Step 6: Final answer
    x = 246,550.39

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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.