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Finding the Fourth Proportional to 295,896.54, 443,956.54 and 177,650.30

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Solution

The fourth proportional to 295,896.54, 443,956.54 and 177,650.30 is: 266,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,896.54 : 443,956.54 = 177,650.30 : x
  2. Step 2: Convert to fraction form
    295,896.54/443,956.54 = 177,650.30/x
  3. Step 3: Cross multiply
    295,896.54x = 443,956.54 × 177,650.30
  4. Step 4: Simplify right side
    295,896.54x = 78,869,012,517.96
  5. Step 5: Solve for x
    x = 78,869,012,517.96/295,896.54
  6. Step 6: Final answer
    x = 266,542.53

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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.