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Finding the Fourth Proportional to 214,430.40, 321,645.60 and 192,657.60

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Solution

The fourth proportional to 214,430.40, 321,645.60 and 192,657.60 is: 288,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,430.40 : 321,645.60 = 192,657.60 : x
  2. Step 2: Convert to fraction form
    214,430.40/321,645.60 = 192,657.60/x
  3. Step 3: Cross multiply
    214,430.40x = 321,645.60 × 192,657.60
  4. Step 4: Simplify right side
    214,430.40x = 61,967,469,346.56
  5. Step 5: Solve for x
    x = 61,967,469,346.56/214,430.40
  6. Step 6: Final answer
    x = 288,986.40

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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.