Finding the Fourth Proportional to 416,002.56, 622,779.12 and 257,722.08
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Solution
The fourth proportional to 416,002.56, 622,779.12 and 257,722.08 is: 385,824.38
Step by Step Solution
- Step 1: Write the proportion equation
416,002.56 : 622,779.12 = 257,722.08 : x - Step 2: Convert to fraction form
416,002.56/622,779.12 = 257,722.08/x - Step 3: Cross multiply
416,002.56x = 622,779.12 × 257,722.08 - Step 4: Simplify right side
416,002.56x = 160,503,930,186.97 - Step 5: Solve for x
x = 160,503,930,186.97/416,002.56 - Step 6: Final answer
x = 385,824.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.