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Finding the Fourth Proportional to 288,725.56, 433,112.50 and 75,493.06

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Solution

The fourth proportional to 288,725.56, 433,112.50 and 75,493.06 is: 113,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,725.56 : 433,112.50 = 75,493.06 : x
  2. Step 2: Convert to fraction form
    288,725.56/433,112.50 = 75,493.06/x
  3. Step 3: Cross multiply
    288,725.56x = 433,112.50 × 75,493.06
  4. Step 4: Simplify right side
    288,725.56x = 32,696,987,949.25
  5. Step 5: Solve for x
    x = 32,696,987,949.25/288,725.56
  6. Step 6: Final answer
    x = 113,245.91

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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.