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Finding the Fourth Proportional to 300,724.08, 414,999 and 164,766.51

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Solution

The fourth proportional to 300,724.08, 414,999 and 164,766.51 is: 227,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,724.08 : 414,999 = 164,766.51 : x
  2. Step 2: Convert to fraction form
    300,724.08/414,999 = 164,766.51/x
  3. Step 3: Cross multiply
    300,724.08x = 414,999 × 164,766.51
  4. Step 4: Simplify right side
    300,724.08x = 68,377,936,883.49
  5. Step 5: Solve for x
    x = 68,377,936,883.49/300,724.08
  6. Step 6: Final answer
    x = 227,377.66

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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.