Finding the Fourth Proportional to 735,422.42, 1,014,828.42 and 413,186.24
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Solution
The fourth proportional to 735,422.42, 1,014,828.42 and 413,186.24 is: 570,166.38
Step by Step Solution
- Step 1: Write the proportion equation
735,422.42 : 1,014,828.42 = 413,186.24 : x - Step 2: Convert to fraction form
735,422.42/1,014,828.42 = 413,186.24/x - Step 3: Cross multiply
735,422.42x = 1,014,828.42 × 413,186.24 - Step 4: Simplify right side
735,422.42x = 419,313,139,104.94 - Step 5: Solve for x
x = 419,313,139,104.94/735,422.42 - Step 6: Final answer
x = 570,166.38
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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.