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Finding the Fourth Proportional to 381,023.36, 571,556.64 and 114,820.64

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Solution

The fourth proportional to 381,023.36, 571,556.64 and 114,820.64 is: 172,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,023.36 : 571,556.64 = 114,820.64 : x
  2. Step 2: Convert to fraction form
    381,023.36/571,556.64 = 114,820.64/x
  3. Step 3: Cross multiply
    381,023.36x = 571,556.64 × 114,820.64
  4. Step 4: Simplify right side
    381,023.36x = 65,626,499,201.05
  5. Step 5: Solve for x
    x = 65,626,499,201.05/381,023.36
  6. Step 6: Final answer
    x = 172,237.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.