Finding the Fourth Proportional to 563,102.14, 842,689.68 and 460,716.91
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Solution
The fourth proportional to 563,102.14, 842,689.68 and 460,716.91 is: 689,468.85
Step by Step Solution
- Step 1: Write the proportion equation
563,102.14 : 842,689.68 = 460,716.91 : x - Step 2: Convert to fraction form
563,102.14/842,689.68 = 460,716.91/x - Step 3: Cross multiply
563,102.14x = 842,689.68 × 460,716.91 - Step 4: Simplify right side
563,102.14x = 388,241,385,458.49 - Step 5: Solve for x
x = 388,241,385,458.49/563,102.14 - Step 6: Final answer
x = 689,468.85
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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.