Finding the Fourth Proportional to 296,130.54, 408,658.86 and 160,164.62
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Solution
The fourth proportional to 296,130.54, 408,658.86 and 160,164.62 is: 221,026.48
Step by Step Solution
- Step 1: Write the proportion equation
296,130.54 : 408,658.86 = 160,164.62 : x - Step 2: Convert to fraction form
296,130.54/408,658.86 = 160,164.62/x - Step 3: Cross multiply
296,130.54x = 408,658.86 × 160,164.62 - Step 4: Simplify right side
296,130.54x = 65,452,691,021.53 - Step 5: Solve for x
x = 65,452,691,021.53/296,130.54 - Step 6: Final answer
x = 221,026.48
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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.