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Finding the Fourth Proportional to 378,883.30, 522,821.73 and 209,106.46

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Solution

The fourth proportional to 378,883.30, 522,821.73 and 209,106.46 is: 288,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,883.30 : 522,821.73 = 209,106.46 : x
  2. Step 2: Convert to fraction form
    378,883.30/522,821.73 = 209,106.46/x
  3. Step 3: Cross multiply
    378,883.30x = 522,821.73 × 209,106.46
  4. Step 4: Simplify right side
    378,883.30x = 109,325,401,171.38
  5. Step 5: Solve for x
    x = 109,325,401,171.38/378,883.30
  6. Step 6: Final answer
    x = 288,546.37

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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.