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Finding the Fourth Proportional to 300,224, 414,310.74 and 164,259.56

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Solution

The fourth proportional to 300,224, 414,310.74 and 164,259.56 is: 226,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,224 : 414,310.74 = 164,259.56 : x
  2. Step 2: Convert to fraction form
    300,224/414,310.74 = 164,259.56/x
  3. Step 3: Cross multiply
    300,224x = 414,310.74 × 164,259.56
  4. Step 4: Simplify right side
    300,224x = 68,054,499,855.67
  5. Step 5: Solve for x
    x = 68,054,499,855.67/300,224
  6. Step 6: Final answer
    x = 226,679.08

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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.