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Finding the Fourth Proportional to 262,019.90, 361,221.33 and 221,571.38

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Solution

The fourth proportional to 262,019.90, 361,221.33 and 221,571.38 is: 305,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,019.90 : 361,221.33 = 221,571.38 : x
  2. Step 2: Convert to fraction form
    262,019.90/361,221.33 = 221,571.38/x
  3. Step 3: Cross multiply
    262,019.90x = 361,221.33 × 221,571.38
  4. Step 4: Simplify right side
    262,019.90x = 80,036,308,573.54
  5. Step 5: Solve for x
    x = 80,036,308,573.54/262,019.90
  6. Step 6: Final answer
    x = 305,458.89

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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.