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Finding the Fourth Proportional to 300,505.78, 414,696.47 and 164,537.26

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Solution

The fourth proportional to 300,505.78, 414,696.47 and 164,537.26 is: 227,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,505.78 : 414,696.47 = 164,537.26 : x
  2. Step 2: Convert to fraction form
    300,505.78/414,696.47 = 164,537.26/x
  3. Step 3: Cross multiply
    300,505.78x = 414,696.47 × 164,537.26
  4. Step 4: Simplify right side
    300,505.78x = 68,233,019,046.04
  5. Step 5: Solve for x
    x = 68,233,019,046.04/300,505.78
  6. Step 6: Final answer
    x = 227,060.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.