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Finding the Fourth Proportional to 409,786.82, 565,580.50 and 237,814.82

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Solution

The fourth proportional to 409,786.82, 565,580.50 and 237,814.82 is: 328,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,786.82 : 565,580.50 = 237,814.82 : x
  2. Step 2: Convert to fraction form
    409,786.82/565,580.50 = 237,814.82/x
  3. Step 3: Cross multiply
    409,786.82x = 565,580.50 × 237,814.82
  4. Step 4: Simplify right side
    409,786.82x = 134,503,421,380.57
  5. Step 5: Solve for x
    x = 134,503,421,380.57/409,786.82
  6. Step 6: Final answer
    x = 328,227.79

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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.