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Finding the Fourth Proportional to 397,713.13, 548,844.21 and 218,865.13

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Solution

The fourth proportional to 397,713.13, 548,844.21 and 218,865.13 is: 302,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,713.13 : 548,844.21 = 218,865.13 : x
  2. Step 2: Convert to fraction form
    397,713.13/548,844.21 = 218,865.13/x
  3. Step 3: Cross multiply
    397,713.13x = 548,844.21 × 218,865.13
  4. Step 4: Simplify right side
    397,713.13x = 120,122,859,371.40
  5. Step 5: Solve for x
    x = 120,122,859,371.40/397,713.13
  6. Step 6: Final answer
    x = 302,033.93

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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.