Finding the Fourth Proportional to 670,453.19, 1,005,015.48 and 314,830.59
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Solution
The fourth proportional to 670,453.19, 1,005,015.48 and 314,830.59 is: 471,933.94
Step by Step Solution
- Step 1: Write the proportion equation
670,453.19 : 1,005,015.48 = 314,830.59 : x - Step 2: Convert to fraction form
670,453.19/1,005,015.48 = 314,830.59/x - Step 3: Cross multiply
670,453.19x = 1,005,015.48 × 314,830.59 - Step 4: Simplify right side
670,453.19x = 316,409,616,527.53 - Step 5: Solve for x
x = 316,409,616,527.53/670,453.19 - Step 6: Final answer
x = 471,933.94
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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.