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Finding the Fourth Proportional to 262,535.40, 393,846.30 and 112,847.40

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Solution

The fourth proportional to 262,535.40, 393,846.30 and 112,847.40 is: 169,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,535.40 : 393,846.30 = 112,847.40 : x
  2. Step 2: Convert to fraction form
    262,535.40/393,846.30 = 112,847.40/x
  3. Step 3: Cross multiply
    262,535.40x = 393,846.30 × 112,847.40
  4. Step 4: Simplify right side
    262,535.40x = 44,444,530,954.62
  5. Step 5: Solve for x
    x = 44,444,530,954.62/262,535.40
  6. Step 6: Final answer
    x = 169,289.67

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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.