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Finding the Fourth Proportional to 300,652.25, 414,900 and 164,694.69

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Solution

The fourth proportional to 300,652.25, 414,900 and 164,694.69 is: 227,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,652.25 : 414,900 = 164,694.69 : x
  2. Step 2: Convert to fraction form
    300,652.25/414,900 = 164,694.69/x
  3. Step 3: Cross multiply
    300,652.25x = 414,900 × 164,694.69
  4. Step 4: Simplify right side
    300,652.25x = 68,331,826,881
  5. Step 5: Solve for x
    x = 68,331,826,881/300,652.25
  6. Step 6: Final answer
    x = 227,278.62

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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.