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Finding the Fourth Proportional to 214,744.80, 322,376.40 and 213,189.60

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Solution

The fourth proportional to 214,744.80, 322,376.40 and 213,189.60 is: 320,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,744.80 : 322,376.40 = 213,189.60 : x
  2. Step 2: Convert to fraction form
    214,744.80/322,376.40 = 213,189.60/x
  3. Step 3: Cross multiply
    214,744.80x = 322,376.40 × 213,189.60
  4. Step 4: Simplify right side
    214,744.80x = 68,727,295,765.44
  5. Step 5: Solve for x
    x = 68,727,295,765.44/214,744.80
  6. Step 6: Final answer
    x = 320,041.72

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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.