Finding the Fourth Proportional to 1,024,232.25, 1,413,440.63 and 565,346.98
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Solution
The fourth proportional to 1,024,232.25, 1,413,440.63 and 565,346.98 is: 780,178.90
Step by Step Solution
- Step 1: Write the proportion equation
1,024,232.25 : 1,413,440.63 = 565,346.98 : x - Step 2: Convert to fraction form
1,024,232.25/1,413,440.63 = 565,346.98/x - Step 3: Cross multiply
1,024,232.25x = 1,413,440.63 × 565,346.98 - Step 4: Simplify right side
1,024,232.25x = 799,084,389,459.56 - Step 5: Solve for x
x = 799,084,389,459.56/1,024,232.25 - Step 6: Final answer
x = 780,178.90
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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.