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Finding the Fourth Proportional to 311,832.80, 430,396.02 and 197,038.55

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Solution

The fourth proportional to 311,832.80, 430,396.02 and 197,038.55 is: 271,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832.80 : 430,396.02 = 197,038.55 : x
  2. Step 2: Convert to fraction form
    311,832.80/430,396.02 = 197,038.55/x
  3. Step 3: Cross multiply
    311,832.80x = 430,396.02 × 197,038.55
  4. Step 4: Simplify right side
    311,832.80x = 84,804,608,782.56
  5. Step 5: Solve for x
    x = 84,804,608,782.56/311,832.80
  6. Step 6: Final answer
    x = 271,955.39

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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.