Finding the Fourth Proportional to 416,009.24, 624,094.78 and 159,823.14
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Solution
The fourth proportional to 416,009.24, 624,094.78 and 159,823.14 is: 239,765.80
Step by Step Solution
- Step 1: Write the proportion equation
416,009.24 : 624,094.78 = 159,823.14 : x - Step 2: Convert to fraction form
416,009.24/624,094.78 = 159,823.14/x - Step 3: Cross multiply
416,009.24x = 624,094.78 × 159,823.14 - Step 4: Simplify right side
416,009.24x = 99,744,787,397.21 - Step 5: Solve for x
x = 99,744,787,397.21/416,009.24 - Step 6: Final answer
x = 239,765.80
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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.