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Finding the Fourth Proportional to 355,309.64, 490,319.21 and 194,165.65

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Solution

The fourth proportional to 355,309.64, 490,319.21 and 194,165.65 is: 267,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,309.64 : 490,319.21 = 194,165.65 : x
  2. Step 2: Convert to fraction form
    355,309.64/490,319.21 = 194,165.65/x
  3. Step 3: Cross multiply
    355,309.64x = 490,319.21 × 194,165.65
  4. Step 4: Simplify right side
    355,309.64x = 95,203,147,146.31
  5. Step 5: Solve for x
    x = 95,203,147,146.31/355,309.64
  6. Step 6: Final answer
    x = 267,944.18

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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.