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Finding the Fourth Proportional to 306,207.29, 422,418.83 and 198,811.01

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Solution

The fourth proportional to 306,207.29, 422,418.83 and 198,811.01 is: 274,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,207.29 : 422,418.83 = 198,811.01 : x
  2. Step 2: Convert to fraction form
    306,207.29/422,418.83 = 198,811.01/x
  3. Step 3: Cross multiply
    306,207.29x = 422,418.83 × 198,811.01
  4. Step 4: Simplify right side
    306,207.29x = 83,981,511,129.17
  5. Step 5: Solve for x
    x = 83,981,511,129.17/306,207.29
  6. Step 6: Final answer
    x = 274,263.60

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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.