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Finding the Fourth Proportional to 301,497.62, 416,067.44 and 165,540.33

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Solution

The fourth proportional to 301,497.62, 416,067.44 and 165,540.33 is: 228,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,497.62 : 416,067.44 = 165,540.33 : x
  2. Step 2: Convert to fraction form
    301,497.62/416,067.44 = 165,540.33/x
  3. Step 3: Cross multiply
    301,497.62x = 416,067.44 × 165,540.33
  4. Step 4: Simplify right side
    301,497.62x = 68,875,940,492.15
  5. Step 5: Solve for x
    x = 68,875,940,492.15/301,497.62
  6. Step 6: Final answer
    x = 228,446.05

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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.