Finding the Fourth Proportional to 301,813.14, 416,477.21 and 165,840.06
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Solution
The fourth proportional to 301,813.14, 416,477.21 and 165,840.06 is: 228,845.59
Step by Step Solution
- Step 1: Write the proportion equation
301,813.14 : 416,477.21 = 165,840.06 : x - Step 2: Convert to fraction form
301,813.14/416,477.21 = 165,840.06/x - Step 3: Cross multiply
301,813.14x = 416,477.21 × 165,840.06 - Step 4: Simplify right side
301,813.14x = 69,068,605,495.03 - Step 5: Solve for x
x = 69,068,605,495.03/301,813.14 - Step 6: Final answer
x = 228,845.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.