Finding the Fourth Proportional to 314,286.96, 470,880.36 and 214,122
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Solution
The fourth proportional to 314,286.96, 470,880.36 and 214,122 is: 320,808.23
Step by Step Solution
- Step 1: Write the proportion equation
314,286.96 : 470,880.36 = 214,122 : x - Step 2: Convert to fraction form
314,286.96/470,880.36 = 214,122/x - Step 3: Cross multiply
314,286.96x = 470,880.36 × 214,122 - Step 4: Simplify right side
314,286.96x = 100,825,844,443.92 - Step 5: Solve for x
x = 100,825,844,443.92/314,286.96 - Step 6: Final answer
x = 320,808.23
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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.