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Finding the Fourth Proportional to 310,189.60, 465,721.80 and 192,091.60

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Solution

The fourth proportional to 310,189.60, 465,721.80 and 192,091.60 is: 288,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,189.60 : 465,721.80 = 192,091.60 : x
  2. Step 2: Convert to fraction form
    310,189.60/465,721.80 = 192,091.60/x
  3. Step 3: Cross multiply
    310,189.60x = 465,721.80 × 192,091.60
  4. Step 4: Simplify right side
    310,189.60x = 89,461,245,716.88
  5. Step 5: Solve for x
    x = 89,461,245,716.88/310,189.60
  6. Step 6: Final answer
    x = 288,408.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.