Finding the Fourth Proportional to 406,197.41, 560,583.97 and 224,926.20
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Solution
The fourth proportional to 406,197.41, 560,583.97 and 224,926.20 is: 310,415.63
Step by Step Solution
- Step 1: Write the proportion equation
406,197.41 : 560,583.97 = 224,926.20 : x - Step 2: Convert to fraction form
406,197.41/560,583.97 = 224,926.20/x - Step 3: Cross multiply
406,197.41x = 560,583.97 × 224,926.20 - Step 4: Simplify right side
406,197.41x = 126,090,021,590.70 - Step 5: Solve for x
x = 126,090,021,590.70/406,197.41 - Step 6: Final answer
x = 310,415.63
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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.