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Finding the Fourth Proportional to 264,823.79, 397,238.11 and 188,600.76

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Solution

The fourth proportional to 264,823.79, 397,238.11 and 188,600.76 is: 282,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,823.79 : 397,238.11 = 188,600.76 : x
  2. Step 2: Convert to fraction form
    264,823.79/397,238.11 = 188,600.76/x
  3. Step 3: Cross multiply
    264,823.79x = 397,238.11 × 188,600.76
  4. Step 4: Simplify right side
    264,823.79x = 74,919,408,975.46
  5. Step 5: Solve for x
    x = 74,919,408,975.46/264,823.79
  6. Step 6: Final answer
    x = 282,902.87

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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.