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Finding the Fourth Proportional to 311,757.19, 430,224.92 and 226,945.33

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Solution

The fourth proportional to 311,757.19, 430,224.92 and 226,945.33 is: 313,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,757.19 : 430,224.92 = 226,945.33 : x
  2. Step 2: Convert to fraction form
    311,757.19/430,224.92 = 226,945.33/x
  3. Step 3: Cross multiply
    311,757.19x = 430,224.92 × 226,945.33
  4. Step 4: Simplify right side
    311,757.19x = 97,637,535,084.38
  5. Step 5: Solve for x
    x = 97,637,535,084.38/311,757.19
  6. Step 6: Final answer
    x = 313,184.55

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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.