Finding the Fourth Proportional to 827,232.15, 1,159,699.65 and 827,232.15
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Solution
The fourth proportional to 827,232.15, 1,159,699.65 and 827,232.15 is: 1,159,699.65
Step by Step Solution
- Step 1: Write the proportion equation
827,232.15 : 1,159,699.65 = 827,232.15 : x - Step 2: Convert to fraction form
827,232.15/1,159,699.65 = 827,232.15/x - Step 3: Cross multiply
827,232.15x = 1,159,699.65 × 827,232.15 - Step 4: Simplify right side
827,232.15x = 959,340,834,823.75 - Step 5: Solve for x
x = 959,340,834,823.75/827,232.15 - Step 6: Final answer
x = 1,159,699.65
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.