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Finding the Fourth Proportional to 456,745.83, 685,069.53 and 119,820.25

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Solution

The fourth proportional to 456,745.83, 685,069.53 and 119,820.25 is: 179,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,745.83 : 685,069.53 = 119,820.25 : x
  2. Step 2: Convert to fraction form
    456,745.83/685,069.53 = 119,820.25/x
  3. Step 3: Cross multiply
    456,745.83x = 685,069.53 × 119,820.25
  4. Step 4: Simplify right side
    456,745.83x = 82,085,202,351.98
  5. Step 5: Solve for x
    x = 82,085,202,351.98/456,745.83
  6. Step 6: Final answer
    x = 179,717.46

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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.