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Finding the Fourth Proportional to 340,719.38, 470,202.46 and 189,826.10

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Solution

The fourth proportional to 340,719.38, 470,202.46 and 189,826.10 is: 261,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,719.38 : 470,202.46 = 189,826.10 : x
  2. Step 2: Convert to fraction form
    340,719.38/470,202.46 = 189,826.10/x
  3. Step 3: Cross multiply
    340,719.38x = 470,202.46 × 189,826.10
  4. Step 4: Simplify right side
    340,719.38x = 89,256,699,192.21
  5. Step 5: Solve for x
    x = 89,256,699,192.21/340,719.38
  6. Step 6: Final answer
    x = 261,965.43

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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.