Finding the Fourth Proportional to 301,805.26, 416,491.14 and 165,847.96
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Solution
The fourth proportional to 301,805.26, 416,491.14 and 165,847.96 is: 228,870.12
Step by Step Solution
- Step 1: Write the proportion equation
301,805.26 : 416,491.14 = 165,847.96 : x - Step 2: Convert to fraction form
301,805.26/416,491.14 = 165,847.96/x - Step 3: Cross multiply
301,805.26x = 416,491.14 × 165,847.96 - Step 4: Simplify right side
301,805.26x = 69,074,205,927.07 - Step 5: Solve for x
x = 69,074,205,927.07/301,805.26 - Step 6: Final answer
x = 228,870.12
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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.