Finding the Fourth Proportional to 742,197.11, 1,024,227.74 and 402,658.07
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Solution
The fourth proportional to 742,197.11, 1,024,227.74 and 402,658.07 is: 555,665.82
Step by Step Solution
- Step 1: Write the proportion equation
742,197.11 : 1,024,227.74 = 402,658.07 : x - Step 2: Convert to fraction form
742,197.11/1,024,227.74 = 402,658.07/x - Step 3: Cross multiply
742,197.11x = 1,024,227.74 × 402,658.07 - Step 4: Simplify right side
742,197.11x = 412,413,563,015.57 - Step 5: Solve for x
x = 412,413,563,015.57/742,197.11 - Step 6: Final answer
x = 555,665.82
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1.5x scale
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.