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Finding the Fourth Proportional to 311,495.76, 467,221.75 and 177,957.54

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Solution

The fourth proportional to 311,495.76, 467,221.75 and 177,957.54 is: 266,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,495.76 : 467,221.75 = 177,957.54 : x
  2. Step 2: Convert to fraction form
    311,495.76/467,221.75 = 177,957.54/x
  3. Step 3: Cross multiply
    311,495.76x = 467,221.75 × 177,957.54
  4. Step 4: Simplify right side
    311,495.76x = 83,145,632,819.60
  5. Step 5: Solve for x
    x = 83,145,632,819.60/311,495.76
  6. Step 6: Final answer
    x = 266,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.