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Finding the Fourth Proportional to 402,441.09, 555,381.62 and 221,169.78

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Solution

The fourth proportional to 402,441.09, 555,381.62 and 221,169.78 is: 305,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,441.09 : 555,381.62 = 221,169.78 : x
  2. Step 2: Convert to fraction form
    402,441.09/555,381.62 = 221,169.78/x
  3. Step 3: Cross multiply
    402,441.09x = 555,381.62 × 221,169.78
  4. Step 4: Simplify right side
    402,441.09x = 122,833,629,605.60
  5. Step 5: Solve for x
    x = 122,833,629,605.60/402,441.09
  6. Step 6: Final answer
    x = 305,221.39

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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.