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Finding the Fourth Proportional to 295,896.40, 443,585.40 and 177,614.80

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Solution

The fourth proportional to 295,896.40, 443,585.40 and 177,614.80 is: 266,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,896.40 : 443,585.40 = 177,614.80 : x
  2. Step 2: Convert to fraction form
    295,896.40/443,585.40 = 177,614.80/x
  3. Step 3: Cross multiply
    295,896.40x = 443,585.40 × 177,614.80
  4. Step 4: Simplify right side
    295,896.40x = 78,787,332,103.92
  5. Step 5: Solve for x
    x = 78,787,332,103.92/295,896.40
  6. Step 6: Final answer
    x = 266,266.61

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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.