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Finding the Fourth Proportional to 541,343.64, 810,397.62 and 327,464.34

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Solution

The fourth proportional to 541,343.64, 810,397.62 and 327,464.34 is: 490,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,343.64 : 810,397.62 = 327,464.34 : x
  2. Step 2: Convert to fraction form
    541,343.64/810,397.62 = 327,464.34/x
  3. Step 3: Cross multiply
    541,343.64x = 810,397.62 × 327,464.34
  4. Step 4: Simplify right side
    541,343.64x = 265,376,321,770.87
  5. Step 5: Solve for x
    x = 265,376,321,770.87/541,343.64
  6. Step 6: Final answer
    x = 490,217.86

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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.