Finding the Fourth Proportional to 709,535.68, 1,063,738.38 and 409,676.14
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Solution
The fourth proportional to 709,535.68, 1,063,738.38 and 409,676.14 is: 614,187.91
Step by Step Solution
- Step 1: Write the proportion equation
709,535.68 : 1,063,738.38 = 409,676.14 : x - Step 2: Convert to fraction form
709,535.68/1,063,738.38 = 409,676.14/x - Step 3: Cross multiply
709,535.68x = 1,063,738.38 × 409,676.14 - Step 4: Simplify right side
709,535.68x = 435,788,233,488.25 - Step 5: Solve for x
x = 435,788,233,488.25/709,535.68 - Step 6: Final answer
x = 614,187.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.