Finding the Fourth Proportional to 413,364.47, 570,398.90 and 232,096.19
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Solution
The fourth proportional to 413,364.47, 570,398.90 and 232,096.19 is: 320,267.99
Step by Step Solution
- Step 1: Write the proportion equation
413,364.47 : 570,398.90 = 232,096.19 : x - Step 2: Convert to fraction form
413,364.47/570,398.90 = 232,096.19/x - Step 3: Cross multiply
413,364.47x = 570,398.90 × 232,096.19 - Step 4: Simplify right side
413,364.47x = 132,387,407,457.72 - Step 5: Solve for x
x = 132,387,407,457.72/413,364.47 - Step 6: Final answer
x = 320,267.99
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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.