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Finding the Fourth Proportional to 300,463.16, 414,644.06 and 164,494.83

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Solution

The fourth proportional to 300,463.16, 414,644.06 and 164,494.83 is: 227,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,463.16 : 414,644.06 = 164,494.83 : x
  2. Step 2: Convert to fraction form
    300,463.16/414,644.06 = 164,494.83/x
  3. Step 3: Cross multiply
    300,463.16x = 414,644.06 × 164,494.83
  4. Step 4: Simplify right side
    300,463.16x = 68,206,806,126.36
  5. Step 5: Solve for x
    x = 68,206,806,126.36/300,463.16
  6. Step 6: Final answer
    x = 227,005.56

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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.