Finding the Fourth Proportional to 298,173,904.26, 410,567,397.35 and 297,312,969.84
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Solution
The fourth proportional to 298,173,904.26, 410,567,397.35 and 297,312,969.84 is: 409,381,942.82
Step by Step Solution
- Step 1: Write the proportion equation
298,173,904.26 : 410,567,397.35 = 297,312,969.84 : x - Step 2: Convert to fraction form
298,173,904.26/410,567,397.35 = 297,312,969.84/x - Step 3: Cross multiply
298,173,904.26x = 410,567,397.35 × 297,312,969.84 - Step 4: Simplify right side
298,173,904.26x = 122,067,012,224,121,280 - Step 5: Solve for x
x = 122,067,012,224,121,280/298,173,904.26 - Step 6: Final answer
x = 409,381,942.82
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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.