Finding the Fourth Proportional to 305,014.71, 457,583.22 and 105,342.42
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Solution
The fourth proportional to 305,014.71, 457,583.22 and 105,342.42 is: 158,034.75
Step by Step Solution
- Step 1: Write the proportion equation
305,014.71 : 457,583.22 = 105,342.42 : x - Step 2: Convert to fraction form
305,014.71/457,583.22 = 105,342.42/x - Step 3: Cross multiply
305,014.71x = 457,583.22 × 105,342.42 - Step 4: Simplify right side
305,014.71x = 48,202,923,746.19 - Step 5: Solve for x
x = 48,202,923,746.19/305,014.71 - Step 6: Final answer
x = 158,034.75
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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.