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Finding the Fourth Proportional to 375,974.16, 518,857.56 and 206,208.96

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Solution

The fourth proportional to 375,974.16, 518,857.56 and 206,208.96 is: 284,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,974.16 : 518,857.56 = 206,208.96 : x
  2. Step 2: Convert to fraction form
    375,974.16/518,857.56 = 206,208.96/x
  3. Step 3: Cross multiply
    375,974.16x = 518,857.56 × 206,208.96
  4. Step 4: Simplify right side
    375,974.16x = 106,993,077,835.74
  5. Step 5: Solve for x
    x = 106,993,077,835.74/375,974.16
  6. Step 6: Final answer
    x = 284,575.62

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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.