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Finding the Fourth Proportional to 397,273.80, 595,910.70 and 144,839.33

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Solution

The fourth proportional to 397,273.80, 595,910.70 and 144,839.33 is: 217,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,273.80 : 595,910.70 = 144,839.33 : x
  2. Step 2: Convert to fraction form
    397,273.80/595,910.70 = 144,839.33/x
  3. Step 3: Cross multiply
    397,273.80x = 595,910.70 × 144,839.33
  4. Step 4: Simplify right side
    397,273.80x = 86,311,303,548.28
  5. Step 5: Solve for x
    x = 86,311,303,548.28/397,273.80
  6. Step 6: Final answer
    x = 217,258.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.