Finding the Fourth Proportional to 406,022.81, 560,297.16 and 224,735.09
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Solution
The fourth proportional to 406,022.81, 560,297.16 and 224,735.09 is: 310,126.50
Step by Step Solution
- Step 1: Write the proportion equation
406,022.81 : 560,297.16 = 224,735.09 : x - Step 2: Convert to fraction form
406,022.81/560,297.16 = 224,735.09/x - Step 3: Cross multiply
406,022.81x = 560,297.16 × 224,735.09 - Step 4: Simplify right side
406,022.81x = 125,918,429,877.86 - Step 5: Solve for x
x = 125,918,429,877.86/406,022.81 - Step 6: Final answer
x = 310,126.50
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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.