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Finding the Fourth Proportional to 409,673.82, 565,352.31 and 237,694.21

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Solution

The fourth proportional to 409,673.82, 565,352.31 and 237,694.21 is: 328,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,673.82 : 565,352.31 = 237,694.21 : x
  2. Step 2: Convert to fraction form
    409,673.82/565,352.31 = 237,694.21/x
  3. Step 3: Cross multiply
    409,673.82x = 565,352.31 × 237,694.21
  4. Step 4: Simplify right side
    409,673.82x = 134,380,971,137.25
  5. Step 5: Solve for x
    x = 134,380,971,137.25/409,673.82
  6. Step 6: Final answer
    x = 328,019.42

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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.