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Finding the Fourth Proportional to 300,644.84, 414,895.83 and 164,678.78

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Solution

The fourth proportional to 300,644.84, 414,895.83 and 164,678.78 is: 227,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,644.84 : 414,895.83 = 164,678.78 : x
  2. Step 2: Convert to fraction form
    300,644.84/414,895.83 = 164,678.78/x
  3. Step 3: Cross multiply
    300,644.84x = 414,895.83 × 164,678.78
  4. Step 4: Simplify right side
    300,644.84x = 68,324,537,037.01
  5. Step 5: Solve for x
    x = 68,324,537,037.01/300,644.84
  6. Step 6: Final answer
    x = 227,259.97

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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.