Finding the Fourth Proportional to 314,404.32, 471,461.70 and 101,132.84
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Solution
The fourth proportional to 314,404.32, 471,461.70 and 101,132.84 is: 151,652.69
Step by Step Solution
- Step 1: Write the proportion equation
314,404.32 : 471,461.70 = 101,132.84 : x - Step 2: Convert to fraction form
314,404.32/471,461.70 = 101,132.84/x - Step 3: Cross multiply
314,404.32x = 471,461.70 × 101,132.84 - Step 4: Simplify right side
314,404.32x = 47,680,260,672.23 - Step 5: Solve for x
x = 47,680,260,672.23/314,404.32 - Step 6: Final answer
x = 151,652.69
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1.5x scale
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.