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Finding the Fourth Proportional to 355,190.96, 490,164.60 and 204,278

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Solution

The fourth proportional to 355,190.96, 490,164.60 and 204,278 is: 281,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,190.96 : 490,164.60 = 204,278 : x
  2. Step 2: Convert to fraction form
    355,190.96/490,164.60 = 204,278/x
  3. Step 3: Cross multiply
    355,190.96x = 490,164.60 × 204,278
  4. Step 4: Simplify right side
    355,190.96x = 100,129,844,158.80
  5. Step 5: Solve for x
    x = 100,129,844,158.80/355,190.96
  6. Step 6: Final answer
    x = 281,904.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.