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Finding the Fourth Proportional to 304,906.60, 420,771.30 and 167,084.92

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Solution

The fourth proportional to 304,906.60, 420,771.30 and 167,084.92 is: 230,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.60 : 420,771.30 = 167,084.92 : x
  2. Step 2: Convert to fraction form
    304,906.60/420,771.30 = 167,084.92/x
  3. Step 3: Cross multiply
    304,906.60x = 420,771.30 × 167,084.92
  4. Step 4: Simplify right side
    304,906.60x = 70,304,538,998.80
  5. Step 5: Solve for x
    x = 70,304,538,998.80/304,906.60
  6. Step 6: Final answer
    x = 230,577.29

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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.