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Finding the Fourth Proportional to 300,516.08, 414,704.41 and 164,548.46

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Solution

The fourth proportional to 300,516.08, 414,704.41 and 164,548.46 is: 227,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,516.08 : 414,704.41 = 164,548.46 : x
  2. Step 2: Convert to fraction form
    300,516.08/414,704.41 = 164,548.46/x
  3. Step 3: Cross multiply
    300,516.08x = 414,704.41 × 164,548.46
  4. Step 4: Simplify right side
    300,516.08x = 68,238,972,646.10
  5. Step 5: Solve for x
    x = 68,238,972,646.10/300,516.08
  6. Step 6: Final answer
    x = 227,072.62

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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.