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Finding the Fourth Proportional to 312,558.32, 431,242.96 and 196,284.32

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Solution

The fourth proportional to 312,558.32, 431,242.96 and 196,284.32 is: 270,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,558.32 : 431,242.96 = 196,284.32 : x
  2. Step 2: Convert to fraction form
    312,558.32/431,242.96 = 196,284.32/x
  3. Step 3: Cross multiply
    312,558.32x = 431,242.96 × 196,284.32
  4. Step 4: Simplify right side
    312,558.32x = 84,646,231,158.39
  5. Step 5: Solve for x
    x = 84,646,231,158.39/312,558.32
  6. Step 6: Final answer
    x = 270,817.40

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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.