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Finding the Fourth Proportional to 381,020.58, 571,414.19 and 263,447.46

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Solution

The fourth proportional to 381,020.58, 571,414.19 and 263,447.46 is: 395,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,020.58 : 571,414.19 = 263,447.46 : x
  2. Step 2: Convert to fraction form
    381,020.58/571,414.19 = 263,447.46/x
  3. Step 3: Cross multiply
    381,020.58x = 571,414.19 × 263,447.46
  4. Step 4: Simplify right side
    381,020.58x = 150,537,615,646.22
  5. Step 5: Solve for x
    x = 150,537,615,646.22/381,020.58
  6. Step 6: Final answer
    x = 395,090.51

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