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Finding the Fourth Proportional to 380,105.38, 524,550.09 and 210,355.30

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Solution

The fourth proportional to 380,105.38, 524,550.09 and 210,355.30 is: 290,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,105.38 : 524,550.09 = 210,355.30 : x
  2. Step 2: Convert to fraction form
    380,105.38/524,550.09 = 210,355.30/x
  3. Step 3: Cross multiply
    380,105.38x = 524,550.09 × 210,355.30
  4. Step 4: Simplify right side
    380,105.38x = 110,341,891,546.98
  5. Step 5: Solve for x
    x = 110,341,891,546.98/380,105.38
  6. Step 6: Final answer
    x = 290,292.90

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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.