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Finding the Fourth Proportional to 300,232.56, 414,306 and 164,269.20

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Solution

The fourth proportional to 300,232.56, 414,306 and 164,269.20 is: 226,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,232.56 : 414,306 = 164,269.20 : x
  2. Step 2: Convert to fraction form
    300,232.56/414,306 = 164,269.20/x
  3. Step 3: Cross multiply
    300,232.56x = 414,306 × 164,269.20
  4. Step 4: Simplify right side
    300,232.56x = 68,057,715,175.20
  5. Step 5: Solve for x
    x = 68,057,715,175.20/300,232.56
  6. Step 6: Final answer
    x = 226,683.33

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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.