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Finding the Fourth Proportional to 300,510.72, 414,704.91 and 164,553.29

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Solution

The fourth proportional to 300,510.72, 414,704.91 and 164,553.29 is: 227,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,510.72 : 414,704.91 = 164,553.29 : x
  2. Step 2: Convert to fraction form
    300,510.72/414,704.91 = 164,553.29/x
  3. Step 3: Cross multiply
    300,510.72x = 414,704.91 × 164,553.29
  4. Step 4: Simplify right side
    300,510.72x = 68,241,055,246.13
  5. Step 5: Solve for x
    x = 68,241,055,246.13/300,510.72
  6. Step 6: Final answer
    x = 227,083.60

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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.