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Finding the Fourth Proportional to 375,832.72, 518,645.28 and 206,066.56

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Solution

The fourth proportional to 375,832.72, 518,645.28 and 206,066.56 is: 284,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,832.72 : 518,645.28 = 206,066.56 : x
  2. Step 2: Convert to fraction form
    375,832.72/518,645.28 = 206,066.56/x
  3. Step 3: Cross multiply
    375,832.72x = 518,645.28 × 206,066.56
  4. Step 4: Simplify right side
    375,832.72x = 106,875,448,709.84
  5. Step 5: Solve for x
    x = 106,875,448,709.84/375,832.72
  6. Step 6: Final answer
    x = 284,369.73

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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.