Finding the Fourth Proportional to 406,829.26, 610,243.92 and 157,511.26
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Solution
The fourth proportional to 406,829.26, 610,243.92 and 157,511.26 is: 236,266.90
Step by Step Solution
- Step 1: Write the proportion equation
406,829.26 : 610,243.92 = 157,511.26 : x - Step 2: Convert to fraction form
406,829.26/610,243.92 = 157,511.26/x - Step 3: Cross multiply
406,829.26x = 610,243.92 × 157,511.26 - Step 4: Simplify right side
406,829.26x = 96,120,288,746.54 - Step 5: Solve for x
x = 96,120,288,746.54/406,829.26 - Step 6: Final answer
x = 236,266.90
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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.