Finding the Fourth Proportional to 967,097.36, 1,449,168.12 and 405,825.68
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Solution
The fourth proportional to 967,097.36, 1,449,168.12 and 405,825.68 is: 608,118.34
Step by Step Solution
- Step 1: Write the proportion equation
967,097.36 : 1,449,168.12 = 405,825.68 : x - Step 2: Convert to fraction form
967,097.36/1,449,168.12 = 405,825.68/x - Step 3: Cross multiply
967,097.36x = 1,449,168.12 × 405,825.68 - Step 4: Simplify right side
967,097.36x = 588,109,637,733.32 - Step 5: Solve for x
x = 588,109,637,733.32/967,097.36 - Step 6: Final answer
x = 608,118.34
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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.