Finding the Fourth Proportional to 406,046.09, 560,294.21 and 224,746.98
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Solution
The fourth proportional to 406,046.09, 560,294.21 and 224,746.98 is: 310,123.49
Step by Step Solution
- Step 1: Write the proportion equation
406,046.09 : 560,294.21 = 224,746.98 : x - Step 2: Convert to fraction form
406,046.09/560,294.21 = 224,746.98/x - Step 3: Cross multiply
406,046.09x = 560,294.21 × 224,746.98 - Step 4: Simplify right side
406,046.09x = 125,924,430,485.25 - Step 5: Solve for x
x = 125,924,430,485.25/406,046.09 - Step 6: Final answer
x = 310,123.49
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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.