Finding the Fourth Proportional to 682,217.80, 1,023,326.70 and 416,497.30
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Solution
The fourth proportional to 682,217.80, 1,023,326.70 and 416,497.30 is: 624,745.95
Step by Step Solution
- Step 1: Write the proportion equation
682,217.80 : 1,023,326.70 = 416,497.30 : x - Step 2: Convert to fraction form
682,217.80/1,023,326.70 = 416,497.30/x - Step 3: Cross multiply
682,217.80x = 1,023,326.70 × 416,497.30 - Step 4: Simplify right side
682,217.80x = 426,212,807,567.91 - Step 5: Solve for x
x = 426,212,807,567.91/682,217.80 - Step 6: Final answer
x = 624,745.95
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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.