Finding the Fourth Proportional to 856,096.32, 1,284,229.36 and 316,494
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Solution
The fourth proportional to 856,096.32, 1,284,229.36 and 316,494 is: 474,772.38
Step by Step Solution
- Step 1: Write the proportion equation
856,096.32 : 1,284,229.36 = 316,494 : x - Step 2: Convert to fraction form
856,096.32/1,284,229.36 = 316,494/x - Step 3: Cross multiply
856,096.32x = 1,284,229.36 × 316,494 - Step 4: Simplify right side
856,096.32x = 406,450,887,063.84 - Step 5: Solve for x
x = 406,450,887,063.84/856,096.32 - Step 6: Final answer
x = 474,772.38
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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.