Finding the Fourth Proportional to 827,296.24, 1,141,792.24 and 505,193.08
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Solution
The fourth proportional to 827,296.24, 1,141,792.24 and 505,193.08 is: 697,241.82
Step by Step Solution
- Step 1: Write the proportion equation
827,296.24 : 1,141,792.24 = 505,193.08 : x - Step 2: Convert to fraction form
827,296.24/1,141,792.24 = 505,193.08/x - Step 3: Cross multiply
827,296.24x = 1,141,792.24 × 505,193.08 - Step 4: Simplify right side
827,296.24x = 576,825,538,445.70 - Step 5: Solve for x
x = 576,825,538,445.70/827,296.24 - Step 6: Final answer
x = 697,241.82
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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.