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Finding the Fourth Proportional to 375,884.88, 518,721.21 and 206,122.56

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Solution

The fourth proportional to 375,884.88, 518,721.21 and 206,122.56 is: 284,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,884.88 : 518,721.21 = 206,122.56 : x
  2. Step 2: Convert to fraction form
    375,884.88/518,721.21 = 206,122.56/x
  3. Step 3: Cross multiply
    375,884.88x = 518,721.21 × 206,122.56
  4. Step 4: Simplify right side
    375,884.88x = 106,920,143,731.50
  5. Step 5: Solve for x
    x = 106,920,143,731.50/375,884.88
  6. Step 6: Final answer
    x = 284,449.17

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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.