Finding the Fourth Proportional to 414,469,104.92, 572,017,525.26 and 235,896,412.95
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Solution
The fourth proportional to 414,469,104.92, 572,017,525.26 and 235,896,412.95 is: 325,565,598.86
Step by Step Solution
- Step 1: Write the proportion equation
414,469,104.92 : 572,017,525.26 = 235,896,412.95 : x - Step 2: Convert to fraction form
414,469,104.92/572,017,525.26 = 235,896,412.95/x - Step 3: Cross multiply
414,469,104.92x = 572,017,525.26 × 235,896,412.95 - Step 4: Simplify right side
414,469,104.92x = 134,936,882,353,632,592 - Step 5: Solve for x
x = 134,936,882,353,632,592/414,469,104.92 - Step 6: Final answer
x = 325,565,598.86
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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.