Finding the Fourth Proportional to 409,600, 614,400 and 98,304
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Solution
The fourth proportional to 409,600, 614,400 and 98,304 is: 147,456
Step by Step Solution
- Step 1: Write the proportion equation
409,600 : 614,400 = 98,304 : x - Step 2: Convert to fraction form
409,600/614,400 = 98,304/x - Step 3: Cross multiply
409,600x = 614,400 × 98,304 - Step 4: Simplify right side
409,600x = 60,397,977,600 - Step 5: Solve for x
x = 60,397,977,600/409,600 - Step 6: Final answer
x = 147,456
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.