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Finding the Fourth Proportional to 301,958.64, 416,708.12 and 165,998.32

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Solution

The fourth proportional to 301,958.64, 416,708.12 and 165,998.32 is: 229,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958.64 : 416,708.12 = 165,998.32 : x
  2. Step 2: Convert to fraction form
    301,958.64/416,708.12 = 165,998.32/x
  3. Step 3: Cross multiply
    301,958.64x = 416,708.12 × 165,998.32
  4. Step 4: Simplify right side
    301,958.64x = 69,172,847,850.36
  5. Step 5: Solve for x
    x = 69,172,847,850.36/301,958.64
  6. Step 6: Final answer
    x = 229,080.54

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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.