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Finding the Fourth Proportional to 317,105.38, 437,619.09 and 189,756.46

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Solution

The fourth proportional to 317,105.38, 437,619.09 and 189,756.46 is: 261,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,105.38 : 437,619.09 = 189,756.46 : x
  2. Step 2: Convert to fraction form
    317,105.38/437,619.09 = 189,756.46/x
  3. Step 3: Cross multiply
    317,105.38x = 437,619.09 × 189,756.46
  4. Step 4: Simplify right side
    317,105.38x = 83,041,049,346.82
  5. Step 5: Solve for x
    x = 83,041,049,346.82/317,105.38
  6. Step 6: Final answer
    x = 261,872.09

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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.