Finding the Fourth Proportional to 299,024.49, 412,647.70 and 164,888.49
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Solution
The fourth proportional to 299,024.49, 412,647.70 and 164,888.49 is: 227,542.75
Step by Step Solution
- Step 1: Write the proportion equation
299,024.49 : 412,647.70 = 164,888.49 : x - Step 2: Convert to fraction form
299,024.49/412,647.70 = 164,888.49/x - Step 3: Cross multiply
299,024.49x = 412,647.70 × 164,888.49 - Step 4: Simplify right side
299,024.49x = 68,040,856,154.97 - Step 5: Solve for x
x = 68,040,856,154.97/299,024.49 - Step 6: Final answer
x = 227,542.75
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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.