Finding the Fourth Proportional to 829,331.70, 1,243,997.55 and 409,427.70
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Solution
The fourth proportional to 829,331.70, 1,243,997.55 and 409,427.70 is: 614,141.55
Step by Step Solution
- Step 1: Write the proportion equation
829,331.70 : 1,243,997.55 = 409,427.70 : x - Step 2: Convert to fraction form
829,331.70/1,243,997.55 = 409,427.70/x - Step 3: Cross multiply
829,331.70x = 1,243,997.55 × 409,427.70 - Step 4: Simplify right side
829,331.70x = 509,327,055,702.14 - Step 5: Solve for x
x = 509,327,055,702.14/829,331.70 - Step 6: Final answer
x = 614,141.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.