Finding the Fourth Proportional to 299,022.49, 412,644.94 and 164,886.49
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Solution
The fourth proportional to 299,022.49, 412,644.94 and 164,886.49 is: 227,539.99
Step by Step Solution
- Step 1: Write the proportion equation
299,022.49 : 412,644.94 = 164,886.49 : x - Step 2: Convert to fraction form
299,022.49/412,644.94 = 164,886.49/x - Step 3: Cross multiply
299,022.49x = 412,644.94 × 164,886.49 - Step 4: Simplify right side
299,022.49x = 68,039,575,772.86 - Step 5: Solve for x
x = 68,039,575,772.86/299,022.49 - Step 6: Final answer
x = 227,539.99
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1.5x scale
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.