Finding the Fourth Proportional to 734,897.36, 1,014,158.35 and 412,614.38
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Solution
The fourth proportional to 734,897.36, 1,014,158.35 and 412,614.38 is: 569,407.84
Step by Step Solution
- Step 1: Write the proportion equation
734,897.36 : 1,014,158.35 = 412,614.38 : x - Step 2: Convert to fraction form
734,897.36/1,014,158.35 = 412,614.38/x - Step 3: Cross multiply
734,897.36x = 1,014,158.35 × 412,614.38 - Step 4: Simplify right side
734,897.36x = 418,456,317,845.44 - Step 5: Solve for x
x = 418,456,317,845.44/734,897.36 - Step 6: Final answer
x = 569,407.84
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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.