Finding the Fourth Proportional to 329,142.16, 493,713.24 and 79,822
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Solution
The fourth proportional to 329,142.16, 493,713.24 and 79,822 is: 119,733
Step by Step Solution
- Step 1: Write the proportion equation
329,142.16 : 493,713.24 = 79,822 : x - Step 2: Convert to fraction form
329,142.16/493,713.24 = 79,822/x - Step 3: Cross multiply
329,142.16x = 493,713.24 × 79,822 - Step 4: Simplify right side
329,142.16x = 39,409,178,243.28 - Step 5: Solve for x
x = 39,409,178,243.28/329,142.16 - Step 6: Final answer
x = 119,733
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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.