Finding the Fourth Proportional to 306,643.24, 457,633.19 and 286,339.06
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Solution
The fourth proportional to 306,643.24, 457,633.19 and 286,339.06 is: 427,331.31
Step by Step Solution
- Step 1: Write the proportion equation
306,643.24 : 457,633.19 = 286,339.06 : x - Step 2: Convert to fraction form
306,643.24/457,633.19 = 286,339.06/x - Step 3: Cross multiply
306,643.24x = 457,633.19 × 286,339.06 - Step 4: Simplify right side
306,643.24x = 131,038,257,449.40 - Step 5: Solve for x
x = 131,038,257,449.40/306,643.24 - Step 6: Final answer
x = 427,331.31
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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.