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Finding the Fourth Proportional to 414,121.20, 621,195.60 and 114,576.71

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Solution

The fourth proportional to 414,121.20, 621,195.60 and 114,576.71 is: 171,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,121.20 : 621,195.60 = 114,576.71 : x
  2. Step 2: Convert to fraction form
    414,121.20/621,195.60 = 114,576.71/x
  3. Step 3: Cross multiply
    414,121.20x = 621,195.60 × 114,576.71
  4. Step 4: Simplify right side
    414,121.20x = 71,174,545,008.50
  5. Step 5: Solve for x
    x = 71,174,545,008.50/414,121.20
  6. Step 6: Final answer
    x = 171,868.88

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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.