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Finding the Fourth Proportional to 300,292.99, 414,414.36 and 164,324.02

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Solution

The fourth proportional to 300,292.99, 414,414.36 and 164,324.02 is: 226,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,292.99 : 414,414.36 = 164,324.02 : x
  2. Step 2: Convert to fraction form
    300,292.99/414,414.36 = 164,324.02/x
  3. Step 3: Cross multiply
    300,292.99x = 414,414.36 × 164,324.02
  4. Step 4: Simplify right side
    300,292.99x = 68,098,233,580.93
  5. Step 5: Solve for x
    x = 68,098,233,580.93/300,292.99
  6. Step 6: Final answer
    x = 226,772.64

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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.