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Finding the Fourth Proportional to 300,505.69, 414,696.34 and 164,537.17

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Solution

The fourth proportional to 300,505.69, 414,696.34 and 164,537.17 is: 227,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,505.69 : 414,696.34 = 164,537.17 : x
  2. Step 2: Convert to fraction form
    300,505.69/414,696.34 = 164,537.17/x
  3. Step 3: Cross multiply
    300,505.69x = 414,696.34 × 164,537.17
  4. Step 4: Simplify right side
    300,505.69x = 68,232,960,744.87
  5. Step 5: Solve for x
    x = 68,232,960,744.87/300,505.69
  6. Step 6: Final answer
    x = 227,060.46

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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.