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Finding the Fourth Proportional to 378,457.85, 567,796.36 and 112,224.78

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Solution

The fourth proportional to 378,457.85, 567,796.36 and 112,224.78 is: 168,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,457.85 : 567,796.36 = 112,224.78 : x
  2. Step 2: Convert to fraction form
    378,457.85/567,796.36 = 112,224.78/x
  3. Step 3: Cross multiply
    378,457.85x = 567,796.36 × 112,224.78
  4. Step 4: Simplify right side
    378,457.85x = 63,720,821,585.80
  5. Step 5: Solve for x
    x = 63,720,821,585.80/378,457.85
  6. Step 6: Final answer
    x = 168,369.67

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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.