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Finding the Fourth Proportional to 409,958.82, 565,757.19 and 237,863.79

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Solution

The fourth proportional to 409,958.82, 565,757.19 and 237,863.79 is: 328,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,958.82 : 565,757.19 = 237,863.79 : x
  2. Step 2: Convert to fraction form
    409,958.82/565,757.19 = 237,863.79/x
  3. Step 3: Cross multiply
    409,958.82x = 565,757.19 × 237,863.79
  4. Step 4: Simplify right side
    409,958.82x = 134,573,149,433.15
  5. Step 5: Solve for x
    x = 134,573,149,433.15/409,958.82
  6. Step 6: Final answer
    x = 328,260.16

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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.