Finding the Fourth Proportional to 296,437.74, 409,082.58 and 160,471.95
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Solution
The fourth proportional to 296,437.74, 409,082.58 and 160,471.95 is: 221,450.48
Step by Step Solution
- Step 1: Write the proportion equation
296,437.74 : 409,082.58 = 160,471.95 : x - Step 2: Convert to fraction form
296,437.74/409,082.58 = 160,471.95/x - Step 3: Cross multiply
296,437.74x = 409,082.58 × 160,471.95 - Step 4: Simplify right side
296,437.74x = 65,646,279,323.63 - Step 5: Solve for x
x = 65,646,279,323.63/296,437.74 - Step 6: Final answer
x = 221,450.48
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.