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Finding the Fourth Proportional to 321,429.78, 443,543.22 and 178,177.68

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Solution

The fourth proportional to 321,429.78, 443,543.22 and 178,177.68 is: 245,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,429.78 : 443,543.22 = 178,177.68 : x
  2. Step 2: Convert to fraction form
    321,429.78/443,543.22 = 178,177.68/x
  3. Step 3: Cross multiply
    321,429.78x = 443,543.22 × 178,177.68
  4. Step 4: Simplify right side
    321,429.78x = 79,029,501,919.33
  5. Step 5: Solve for x
    x = 79,029,501,919.33/321,429.78
  6. Step 6: Final answer
    x = 245,868.64

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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.