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Finding the Fourth Proportional to 300,855.17, 415,183.32 and 164,886.12

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Solution

The fourth proportional to 300,855.17, 415,183.32 and 164,886.12 is: 227,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,855.17 : 415,183.32 = 164,886.12 : x
  2. Step 2: Convert to fraction form
    300,855.17/415,183.32 = 164,886.12/x
  3. Step 3: Cross multiply
    300,855.17x = 415,183.32 × 164,886.12
  4. Step 4: Simplify right side
    300,855.17x = 68,457,966,723.52
  5. Step 5: Solve for x
    x = 68,457,966,723.52/300,855.17
  6. Step 6: Final answer
    x = 227,544.59

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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.