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Finding the Fourth Proportional to 300,463.36, 414,644.33 and 164,495.03

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Solution

The fourth proportional to 300,463.36, 414,644.33 and 164,495.03 is: 227,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,463.36 : 414,644.33 = 164,495.03 : x
  2. Step 2: Convert to fraction form
    300,463.36/414,644.33 = 164,495.03/x
  3. Step 3: Cross multiply
    300,463.36x = 414,644.33 × 164,495.03
  4. Step 4: Simplify right side
    300,463.36x = 68,206,929,840.70
  5. Step 5: Solve for x
    x = 68,206,929,840.70/300,463.36
  6. Step 6: Final answer
    x = 227,005.82

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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.