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Finding the Fourth Proportional to 321,177.86, 443,189.58 and 177,902.36

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Solution

The fourth proportional to 321,177.86, 443,189.58 and 177,902.36 is: 245,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,177.86 : 443,189.58 = 177,902.36 : x
  2. Step 2: Convert to fraction form
    321,177.86/443,189.58 = 177,902.36/x
  3. Step 3: Cross multiply
    321,177.86x = 443,189.58 × 177,902.36
  4. Step 4: Simplify right side
    321,177.86x = 78,844,472,209.41
  5. Step 5: Solve for x
    x = 78,844,472,209.41/321,177.86
  6. Step 6: Final answer
    x = 245,485.39

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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.