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Finding the Fourth Proportional to 415,896.36, 624,121.38 and 226,404.54

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Solution

The fourth proportional to 415,896.36, 624,121.38 and 226,404.54 is: 339,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,896.36 : 624,121.38 = 226,404.54 : x
  2. Step 2: Convert to fraction form
    415,896.36/624,121.38 = 226,404.54/x
  3. Step 3: Cross multiply
    415,896.36x = 624,121.38 × 226,404.54
  4. Step 4: Simplify right side
    415,896.36x = 141,303,913,943.07
  5. Step 5: Solve for x
    x = 141,303,913,943.07/415,896.36
  6. Step 6: Final answer
    x = 339,757.52

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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.