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Finding the Fourth Proportional to 301,958.44, 416,707.91 and 165,998.12

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Solution

The fourth proportional to 301,958.44, 416,707.91 and 165,998.12 is: 229,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958.44 : 416,707.91 = 165,998.12 : x
  2. Step 2: Convert to fraction form
    301,958.44/416,707.91 = 165,998.12/x
  3. Step 3: Cross multiply
    301,958.44x = 416,707.91 × 165,998.12
  4. Step 4: Simplify right side
    301,958.44x = 69,172,727,358.09
  5. Step 5: Solve for x
    x = 69,172,727,358.09/301,958.44
  6. Step 6: Final answer
    x = 229,080.29

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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.