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Finding the Fourth Proportional to 402,093.44, 603,140.38 and 252,438.83

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Solution

The fourth proportional to 402,093.44, 603,140.38 and 252,438.83 is: 378,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,093.44 : 603,140.38 = 252,438.83 : x
  2. Step 2: Convert to fraction form
    402,093.44/603,140.38 = 252,438.83/x
  3. Step 3: Cross multiply
    402,093.44x = 603,140.38 × 252,438.83
  4. Step 4: Simplify right side
    402,093.44x = 152,256,052,729.71
  5. Step 5: Solve for x
    x = 152,256,052,729.71/402,093.44
  6. Step 6: Final answer
    x = 378,658.39

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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.