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Finding the Fourth Proportional to 422,622.60, 633,972.96 and 152,818.08

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Solution

The fourth proportional to 422,622.60, 633,972.96 and 152,818.08 is: 229,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,622.60 : 633,972.96 = 152,818.08 : x
  2. Step 2: Convert to fraction form
    422,622.60/633,972.96 = 152,818.08/x
  3. Step 3: Cross multiply
    422,622.60x = 633,972.96 × 152,818.08
  4. Step 4: Simplify right side
    422,622.60x = 96,882,530,519.12
  5. Step 5: Solve for x
    x = 96,882,530,519.12/422,622.60
  6. Step 6: Final answer
    x = 229,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.