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Finding the Fourth Proportional to 321,772.65, 444,046.41 and 178,532.88

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Solution

The fourth proportional to 321,772.65, 444,046.41 and 178,532.88 is: 246,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,772.65 : 444,046.41 = 178,532.88 : x
  2. Step 2: Convert to fraction form
    321,772.65/444,046.41 = 178,532.88/x
  3. Step 3: Cross multiply
    321,772.65x = 444,046.41 × 178,532.88
  4. Step 4: Simplify right side
    321,772.65x = 79,276,884,430.96
  5. Step 5: Solve for x
    x = 79,276,884,430.96/321,772.65
  6. Step 6: Final answer
    x = 246,375.46

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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.