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Finding the Fourth Proportional to 416,381.36, 624,478.64 and 191,525.85

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Solution

The fourth proportional to 416,381.36, 624,478.64 and 191,525.85 is: 287,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,381.36 : 624,478.64 = 191,525.85 : x
  2. Step 2: Convert to fraction form
    416,381.36/624,478.64 = 191,525.85/x
  3. Step 3: Cross multiply
    416,381.36x = 624,478.64 × 191,525.85
  4. Step 4: Simplify right side
    416,381.36x = 119,603,801,375.22
  5. Step 5: Solve for x
    x = 119,603,801,375.22/416,381.36
  6. Step 6: Final answer
    x = 287,245.81

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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.