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Finding the Fourth Proportional to 416,576.52, 624,735.45 and 150,302.25

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Solution

The fourth proportional to 416,576.52, 624,735.45 and 150,302.25 is: 225,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,576.52 : 624,735.45 = 150,302.25 : x
  2. Step 2: Convert to fraction form
    416,576.52/624,735.45 = 150,302.25/x
  3. Step 3: Cross multiply
    416,576.52x = 624,735.45 × 150,302.25
  4. Step 4: Simplify right side
    416,576.52x = 93,899,143,789.76
  5. Step 5: Solve for x
    x = 93,899,143,789.76/416,576.52
  6. Step 6: Final answer
    x = 225,406.71

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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.