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Finding the Fourth Proportional to 311,809.74, 430,301.37 and 189,266.70

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Solution

The fourth proportional to 311,809.74, 430,301.37 and 189,266.70 is: 261,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,809.74 : 430,301.37 = 189,266.70 : x
  2. Step 2: Convert to fraction form
    311,809.74/430,301.37 = 189,266.70/x
  3. Step 3: Cross multiply
    311,809.74x = 430,301.37 × 189,266.70
  4. Step 4: Simplify right side
    311,809.74x = 81,441,720,305.38
  5. Step 5: Solve for x
    x = 81,441,720,305.38/311,809.74
  6. Step 6: Final answer
    x = 261,190.43

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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.