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Finding the Fourth Proportional to 416,034.80, 624,052.20 and 327,561.20

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Solution

The fourth proportional to 416,034.80, 624,052.20 and 327,561.20 is: 491,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,034.80 : 624,052.20 = 327,561.20 : x
  2. Step 2: Convert to fraction form
    416,034.80/624,052.20 = 327,561.20/x
  3. Step 3: Cross multiply
    416,034.80x = 624,052.20 × 327,561.20
  4. Step 4: Simplify right side
    416,034.80x = 204,415,287,494.64
  5. Step 5: Solve for x
    x = 204,415,287,494.64/416,034.80
  6. Step 6: Final answer
    x = 491,341.80

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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.