Finding the Fourth Proportional to 417,692.24, 576,415.86 and 226,705.66
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Solution
The fourth proportional to 417,692.24, 576,415.86 and 226,705.66 is: 312,854.12
Step by Step Solution
- Step 1: Write the proportion equation
417,692.24 : 576,415.86 = 226,705.66 : x - Step 2: Convert to fraction form
417,692.24/576,415.86 = 226,705.66/x - Step 3: Cross multiply
417,692.24x = 576,415.86 × 226,705.66 - Step 4: Simplify right side
417,692.24x = 130,676,737,975.77 - Step 5: Solve for x
x = 130,676,737,975.77/417,692.24 - Step 6: Final answer
x = 312,854.12
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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.