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Finding the Fourth Proportional to 512,410.80, 768,731.40 and 301,940.40

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Solution

The fourth proportional to 512,410.80, 768,731.40 and 301,940.40 is: 452,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,410.80 : 768,731.40 = 301,940.40 : x
  2. Step 2: Convert to fraction form
    512,410.80/768,731.40 = 301,940.40/x
  3. Step 3: Cross multiply
    512,410.80x = 768,731.40 × 301,940.40
  4. Step 4: Simplify right side
    512,410.80x = 232,111,066,408.56
  5. Step 5: Solve for x
    x = 232,111,066,408.56/512,410.80
  6. Step 6: Final answer
    x = 452,978.48

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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.