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Finding the Fourth Proportional to 322,814.08, 483,801.60 and 180,653.44

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Solution

The fourth proportional to 322,814.08, 483,801.60 and 180,653.44 is: 270,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,814.08 : 483,801.60 = 180,653.44 : x
  2. Step 2: Convert to fraction form
    322,814.08/483,801.60 = 180,653.44/x
  3. Step 3: Cross multiply
    322,814.08x = 483,801.60 × 180,653.44
  4. Step 4: Simplify right side
    322,814.08x = 87,400,423,317.50
  5. Step 5: Solve for x
    x = 87,400,423,317.50/322,814.08
  6. Step 6: Final answer
    x = 270,745.39

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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.