Finding the Fourth Proportional to 416,262.84, 624,368.34 and 256,369.20
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Solution
The fourth proportional to 416,262.84, 624,368.34 and 256,369.20 is: 384,537.84
Step by Step Solution
- Step 1: Write the proportion equation
416,262.84 : 624,368.34 = 256,369.20 : x - Step 2: Convert to fraction form
416,262.84/624,368.34 = 256,369.20/x - Step 3: Cross multiply
416,262.84x = 624,368.34 × 256,369.20 - Step 4: Simplify right side
416,262.84x = 160,068,811,831.13 - Step 5: Solve for x
x = 160,068,811,831.13/416,262.84 - Step 6: Final answer
x = 384,537.84
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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.