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Finding the Fourth Proportional to 469,834.44, 704,745.52 and 114,851.56

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Solution

The fourth proportional to 469,834.44, 704,745.52 and 114,851.56 is: 172,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,834.44 : 704,745.52 = 114,851.56 : x
  2. Step 2: Convert to fraction form
    469,834.44/704,745.52 = 114,851.56/x
  3. Step 3: Cross multiply
    469,834.44x = 704,745.52 × 114,851.56
  4. Step 4: Simplify right side
    469,834.44x = 80,941,122,375.01
  5. Step 5: Solve for x
    x = 80,941,122,375.01/469,834.44
  6. Step 6: Final answer
    x = 172,275.84

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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.