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Finding the Fourth Proportional to 311,834.30, 430,398.10 and 197,040.06

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Solution

The fourth proportional to 311,834.30, 430,398.10 and 197,040.06 is: 271,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,834.30 : 430,398.10 = 197,040.06 : x
  2. Step 2: Convert to fraction form
    311,834.30/430,398.10 = 197,040.06/x
  3. Step 3: Cross multiply
    311,834.30x = 430,398.10 × 197,040.06
  4. Step 4: Simplify right side
    311,834.30x = 84,805,667,447.89
  5. Step 5: Solve for x
    x = 84,805,667,447.89/311,834.30
  6. Step 6: Final answer
    x = 271,957.47

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Why These Related Problems?

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