Finding the Fourth Proportional to 296,449.23, 409,099.84 and 160,483.07
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Solution
The fourth proportional to 296,449.23, 409,099.84 and 160,483.07 is: 221,466.58
Step by Step Solution
- Step 1: Write the proportion equation
296,449.23 : 409,099.84 = 160,483.07 : x - Step 2: Convert to fraction form
296,449.23/409,099.84 = 160,483.07/x - Step 3: Cross multiply
296,449.23x = 409,099.84 × 160,483.07 - Step 4: Simplify right side
296,449.23x = 65,653,598,259.71 - Step 5: Solve for x
x = 65,653,598,259.71/296,449.23 - Step 6: Final answer
x = 221,466.58
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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.