Finding the Fourth Proportional to 296,933.26, 409,769.02 and 160,967.46
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Solution
The fourth proportional to 296,933.26, 409,769.02 and 160,967.46 is: 222,135.70
Step by Step Solution
- Step 1: Write the proportion equation
296,933.26 : 409,769.02 = 160,967.46 : x - Step 2: Convert to fraction form
296,933.26/409,769.02 = 160,967.46/x - Step 3: Cross multiply
296,933.26x = 409,769.02 × 160,967.46 - Step 4: Simplify right side
296,933.26x = 65,959,478,336.09 - Step 5: Solve for x
x = 65,959,478,336.09/296,933.26 - Step 6: Final answer
x = 222,135.70
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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.