Finding the Fourth Proportional to 735,420.42, 1,014,825.66 and 413,184.24
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Solution
The fourth proportional to 735,420.42, 1,014,825.66 and 413,184.24 is: 570,163.62
Step by Step Solution
- Step 1: Write the proportion equation
735,420.42 : 1,014,825.66 = 413,184.24 : x - Step 2: Convert to fraction form
735,420.42/1,014,825.66 = 413,184.24/x - Step 3: Cross multiply
735,420.42x = 1,014,825.66 × 413,184.24 - Step 4: Simplify right side
735,420.42x = 419,309,969,059.60 - Step 5: Solve for x
x = 419,309,969,059.60/735,420.42 - Step 6: Final answer
x = 570,163.62
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1.5x scale
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.