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Finding the Fourth Proportional to 300,297.56, 414,410.68 and 164,331.53

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Solution

The fourth proportional to 300,297.56, 414,410.68 and 164,331.53 is: 226,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,297.56 : 414,410.68 = 164,331.53 : x
  2. Step 2: Convert to fraction form
    300,297.56/414,410.68 = 164,331.53/x
  3. Step 3: Cross multiply
    300,297.56x = 414,410.68 × 164,331.53
  4. Step 4: Simplify right side
    300,297.56x = 68,100,743,111.20
  5. Step 5: Solve for x
    x = 68,100,743,111.20/300,297.56
  6. Step 6: Final answer
    x = 226,777.54

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1.5x scale

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.