Finding the Fourth Proportional to 420,432.36, 580,198.28 and 229,450
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Solution
The fourth proportional to 420,432.36, 580,198.28 and 229,450 is: 316,641.89
Step by Step Solution
- Step 1: Write the proportion equation
420,432.36 : 580,198.28 = 229,450 : x - Step 2: Convert to fraction form
420,432.36/580,198.28 = 229,450/x - Step 3: Cross multiply
420,432.36x = 580,198.28 × 229,450 - Step 4: Simplify right side
420,432.36x = 133,126,495,346 - Step 5: Solve for x
x = 133,126,495,346/420,432.36 - Step 6: Final answer
x = 316,641.89
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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.