Finding the Fourth Proportional to 296,312.68, 408,908.36 and 160,343.64
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Solution
The fourth proportional to 296,312.68, 408,908.36 and 160,343.64 is: 221,272.52
Step by Step Solution
- Step 1: Write the proportion equation
296,312.68 : 408,908.36 = 160,343.64 : x - Step 2: Convert to fraction form
296,312.68/408,908.36 = 160,343.64/x - Step 3: Cross multiply
296,312.68x = 408,908.36 × 160,343.64 - Step 4: Simplify right side
296,312.68x = 65,565,854,868.83 - Step 5: Solve for x
x = 65,565,854,868.83/296,312.68 - Step 6: Final answer
x = 221,272.52
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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.