Finding the Fourth Proportional to 416,549.14, 624,402.92 and 164,006.82
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Solution
The fourth proportional to 416,549.14, 624,402.92 and 164,006.82 is: 245,844.55
Step by Step Solution
- Step 1: Write the proportion equation
416,549.14 : 624,402.92 = 164,006.82 : x - Step 2: Convert to fraction form
416,549.14/624,402.92 = 164,006.82/x - Step 3: Cross multiply
416,549.14x = 624,402.92 × 164,006.82 - Step 4: Simplify right side
416,549.14x = 102,406,337,307.91 - Step 5: Solve for x
x = 102,406,337,307.91/416,549.14 - Step 6: Final answer
x = 245,844.55
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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.