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Finding the Fourth Proportional to 225,568.44, 311,695.02 and 214,636.68

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Solution

The fourth proportional to 225,568.44, 311,695.02 and 214,636.68 is: 296,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,568.44 : 311,695.02 = 214,636.68 : x
  2. Step 2: Convert to fraction form
    225,568.44/311,695.02 = 214,636.68/x
  3. Step 3: Cross multiply
    225,568.44x = 311,695.02 × 214,636.68
  4. Step 4: Simplify right side
    225,568.44x = 66,901,184,265.33
  5. Step 5: Solve for x
    x = 66,901,184,265.33/225,568.44
  6. Step 6: Final answer
    x = 296,589.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.