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Finding the Fourth Proportional to 463,676.44, 639,245.10 and 396,415.84

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Solution

The fourth proportional to 463,676.44, 639,245.10 and 396,415.84 is: 546,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,676.44 : 639,245.10 = 396,415.84 : x
  2. Step 2: Convert to fraction form
    463,676.44/639,245.10 = 396,415.84/x
  3. Step 3: Cross multiply
    463,676.44x = 639,245.10 × 396,415.84
  4. Step 4: Simplify right side
    463,676.44x = 253,406,883,282.38
  5. Step 5: Solve for x
    x = 253,406,883,282.38/463,676.44
  6. Step 6: Final answer
    x = 546,516.63

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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.