Finding the Fourth Proportional to 732,117.26, 1,010,322.24 and 409,827.98
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Solution
The fourth proportional to 732,117.26, 1,010,322.24 and 409,827.98 is: 565,562.85
Step by Step Solution
- Step 1: Write the proportion equation
732,117.26 : 1,010,322.24 = 409,827.98 : x - Step 2: Convert to fraction form
732,117.26/1,010,322.24 = 409,827.98/x - Step 3: Cross multiply
732,117.26x = 1,010,322.24 × 409,827.98 - Step 4: Simplify right side
732,117.26x = 414,058,322,768.28 - Step 5: Solve for x
x = 414,058,322,768.28/732,117.26 - Step 6: Final answer
x = 565,562.85
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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.