Finding the Fourth Proportional to 412,320.40, 578,078 and 412,320.40
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Solution
The fourth proportional to 412,320.40, 578,078 and 412,320.40 is: 578,078
Step by Step Solution
- Step 1: Write the proportion equation
412,320.40 : 578,078 = 412,320.40 : x - Step 2: Convert to fraction form
412,320.40/578,078 = 412,320.40/x - Step 3: Cross multiply
412,320.40x = 578,078 × 412,320.40 - Step 4: Simplify right side
412,320.40x = 238,353,352,191.20 - Step 5: Solve for x
x = 238,353,352,191.20/412,320.40 - Step 6: Final answer
x = 578,078
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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.