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Finding the Fourth Proportional to 300,297.16, 414,410.13 and 164,331.14

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Solution

The fourth proportional to 300,297.16, 414,410.13 and 164,331.14 is: 226,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,297.16 : 414,410.13 = 164,331.14 : x
  2. Step 2: Convert to fraction form
    300,297.16/414,410.13 = 164,331.14/x
  3. Step 3: Cross multiply
    300,297.16x = 414,410.13 × 164,331.14
  4. Step 4: Simplify right side
    300,297.16x = 68,100,489,090.45
  5. Step 5: Solve for x
    x = 68,100,489,090.45/300,297.16
  6. Step 6: Final answer
    x = 226,777.00

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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.