Finding the Fourth Proportional to 278,454,810.48, 415,638,252.84 and 257,934,102
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Solution
The fourth proportional to 278,454,810.48, 415,638,252.84 and 257,934,102 is: 385,007,819.83
Step by Step Solution
- Step 1: Write the proportion equation
278,454,810.48 : 415,638,252.84 = 257,934,102 : x - Step 2: Convert to fraction form
278,454,810.48/415,638,252.84 = 257,934,102/x - Step 3: Cross multiply
278,454,810.48x = 415,638,252.84 × 257,934,102 - Step 4: Simplify right side
278,454,810.48x = 107,207,279,503,134,336 - Step 5: Solve for x
x = 107,207,279,503,134,336/278,454,810.48 - Step 6: Final answer
x = 385,007,819.83
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.