Finding the Fourth Proportional to 734,945.49, 1,014,253.20 and 408,283.23
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Solution
The fourth proportional to 734,945.49, 1,014,253.20 and 408,283.23 is: 563,446.65
Step by Step Solution
- Step 1: Write the proportion equation
734,945.49 : 1,014,253.20 = 408,283.23 : x - Step 2: Convert to fraction form
734,945.49/1,014,253.20 = 408,283.23/x - Step 3: Cross multiply
734,945.49x = 1,014,253.20 × 408,283.23 - Step 4: Simplify right side
734,945.49x = 414,102,572,533.84 - Step 5: Solve for x
x = 414,102,572,533.84/734,945.49 - Step 6: Final answer
x = 563,446.65
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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.