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Finding the Fourth Proportional to 767,338.56, 1,150,846.56 and 206,377.92

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Solution

The fourth proportional to 767,338.56, 1,150,846.56 and 206,377.92 is: 309,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,338.56 : 1,150,846.56 = 206,377.92 : x
  2. Step 2: Convert to fraction form
    767,338.56/1,150,846.56 = 206,377.92/x
  3. Step 3: Cross multiply
    767,338.56x = 1,150,846.56 × 206,377.92
  4. Step 4: Simplify right side
    767,338.56x = 237,509,319,291.96
  5. Step 5: Solve for x
    x = 237,509,319,291.96/767,338.56
  6. Step 6: Final answer
    x = 309,523.50

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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.