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Finding the Fourth Proportional to 422,496.80, 633,841.20 and 142,042.40

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Solution

The fourth proportional to 422,496.80, 633,841.20 and 142,042.40 is: 213,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,496.80 : 633,841.20 = 142,042.40 : x
  2. Step 2: Convert to fraction form
    422,496.80/633,841.20 = 142,042.40/x
  3. Step 3: Cross multiply
    422,496.80x = 633,841.20 × 142,042.40
  4. Step 4: Simplify right side
    422,496.80x = 90,032,325,266.88
  5. Step 5: Solve for x
    x = 90,032,325,266.88/422,496.80
  6. Step 6: Final answer
    x = 213,095.87

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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.