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Finding the Fourth Proportional to 301,958.81, 416,708.43 and 165,998.49

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Solution

The fourth proportional to 301,958.81, 416,708.43 and 165,998.49 is: 229,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958.81 : 416,708.43 = 165,998.49 : x
  2. Step 2: Convert to fraction form
    301,958.81/416,708.43 = 165,998.49/x
  3. Step 3: Cross multiply
    301,958.81x = 416,708.43 × 165,998.49
  4. Step 4: Simplify right side
    301,958.81x = 69,172,969,527.78
  5. Step 5: Solve for x
    x = 69,172,969,527.78/301,958.81
  6. Step 6: Final answer
    x = 229,080.81

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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.