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Finding the Fourth Proportional to 301,910.12, 416,640.25 and 165,956.64

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Solution

The fourth proportional to 301,910.12, 416,640.25 and 165,956.64 is: 229,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,910.12 : 416,640.25 = 165,956.64 : x
  2. Step 2: Convert to fraction form
    301,910.12/416,640.25 = 165,956.64/x
  3. Step 3: Cross multiply
    301,910.12x = 416,640.25 × 165,956.64
  4. Step 4: Simplify right side
    301,910.12x = 69,144,214,107.38
  5. Step 5: Solve for x
    x = 69,144,214,107.38/301,910.12
  6. Step 6: Final answer
    x = 229,022.51

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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.