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Finding the Fourth Proportional to 375,956.10, 518,852.23 and 206,223.03

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Solution

The fourth proportional to 375,956.10, 518,852.23 and 206,223.03 is: 284,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,956.10 : 518,852.23 = 206,223.03 : x
  2. Step 2: Convert to fraction form
    375,956.10/518,852.23 = 206,223.03/x
  3. Step 3: Cross multiply
    375,956.10x = 518,852.23 × 206,223.03
  4. Step 4: Simplify right side
    375,956.10x = 106,999,278,992.86
  5. Step 5: Solve for x
    x = 106,999,278,992.86/375,956.10
  6. Step 6: Final answer
    x = 284,605.78

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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.