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Finding the Fourth Proportional to 288,733.50, 433,092.96 and 78,365.97

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Solution

The fourth proportional to 288,733.50, 433,092.96 and 78,365.97 is: 117,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733.50 : 433,092.96 = 78,365.97 : x
  2. Step 2: Convert to fraction form
    288,733.50/433,092.96 = 78,365.97/x
  3. Step 3: Cross multiply
    288,733.50x = 433,092.96 × 78,365.97
  4. Step 4: Simplify right side
    288,733.50x = 33,939,749,910.57
  5. Step 5: Solve for x
    x = 33,939,749,910.57/288,733.50
  6. Step 6: Final answer
    x = 117,546.98

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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.