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Finding the Fourth Proportional to 300,291.22, 414,395.49 and 164,324.62

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Solution

The fourth proportional to 300,291.22, 414,395.49 and 164,324.62 is: 226,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,291.22 : 414,395.49 = 164,324.62 : x
  2. Step 2: Convert to fraction form
    300,291.22/414,395.49 = 164,324.62/x
  3. Step 3: Cross multiply
    300,291.22x = 414,395.49 × 164,324.62
  4. Step 4: Simplify right side
    300,291.22x = 68,095,381,423.96
  5. Step 5: Solve for x
    x = 68,095,381,423.96/300,291.22
  6. Step 6: Final answer
    x = 226,764.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.