Finding the Fourth Proportional to 380,948.80, 571,503.12 and 144,286.24
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Solution
The fourth proportional to 380,948.80, 571,503.12 and 144,286.24 is: 216,459.63
Step by Step Solution
- Step 1: Write the proportion equation
380,948.80 : 571,503.12 = 144,286.24 : x - Step 2: Convert to fraction form
380,948.80/571,503.12 = 144,286.24/x - Step 3: Cross multiply
380,948.80x = 571,503.12 × 144,286.24 - Step 4: Simplify right side
380,948.80x = 82,460,036,333.07 - Step 5: Solve for x
x = 82,460,036,333.07/380,948.80 - Step 6: Final answer
x = 216,459.63
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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.