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Finding the Fourth Proportional to 493,911.30, 741,212.55 and 213,629.70

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Solution

The fourth proportional to 493,911.30, 741,212.55 and 213,629.70 is: 320,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,911.30 : 741,212.55 = 213,629.70 : x
  2. Step 2: Convert to fraction form
    493,911.30/741,212.55 = 213,629.70/x
  3. Step 3: Cross multiply
    493,911.30x = 741,212.55 × 213,629.70
  4. Step 4: Simplify right side
    493,911.30x = 158,345,014,692.74
  5. Step 5: Solve for x
    x = 158,345,014,692.74/493,911.30
  6. Step 6: Final answer
    x = 320,594.03

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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.