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Finding the Fourth Proportional to 375,904, 518,699.84 and 206,093.44

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Solution

The fourth proportional to 375,904, 518,699.84 and 206,093.44 is: 284,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,904 : 518,699.84 = 206,093.44 : x
  2. Step 2: Convert to fraction form
    375,904/518,699.84 = 206,093.44/x
  3. Step 3: Cross multiply
    375,904x = 518,699.84 × 206,093.44
  4. Step 4: Simplify right side
    375,904x = 106,900,634,353.05
  5. Step 5: Solve for x
    x = 106,900,634,353.05/375,904
  6. Step 6: Final answer
    x = 284,382.81

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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.