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Finding the Fourth Proportional to 415,211.97, 622,334.07 and 190,596.15

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Solution

The fourth proportional to 415,211.97, 622,334.07 and 190,596.15 is: 285,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.97 : 622,334.07 = 190,596.15 : x
  2. Step 2: Convert to fraction form
    415,211.97/622,334.07 = 190,596.15/x
  3. Step 3: Cross multiply
    415,211.97x = 622,334.07 × 190,596.15
  4. Step 4: Simplify right side
    415,211.97x = 118,614,477,755.83
  5. Step 5: Solve for x
    x = 118,614,477,755.83/415,211.97
  6. Step 6: Final answer
    x = 285,672.11

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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.