Finding the Fourth Proportional to 785,157.81, 1,177,742.60 and 429,978.07
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Solution
The fourth proportional to 785,157.81, 1,177,742.60 and 429,978.07 is: 644,970.33
Step by Step Solution
- Step 1: Write the proportion equation
785,157.81 : 1,177,742.60 = 429,978.07 : x - Step 2: Convert to fraction form
785,157.81/1,177,742.60 = 429,978.07/x - Step 3: Cross multiply
785,157.81x = 1,177,742.60 × 429,978.07 - Step 4: Simplify right side
785,157.81x = 506,403,491,039.49 - Step 5: Solve for x
x = 506,403,491,039.49/785,157.81 - Step 6: Final answer
x = 644,970.33
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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.