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Finding the Fourth Proportional to 290,105.14, 400,242.45 and 189,561.46

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Solution

The fourth proportional to 290,105.14, 400,242.45 and 189,561.46 is: 261,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,105.14 : 400,242.45 = 189,561.46 : x
  2. Step 2: Convert to fraction form
    290,105.14/400,242.45 = 189,561.46/x
  3. Step 3: Cross multiply
    290,105.14x = 400,242.45 × 189,561.46
  4. Step 4: Simplify right side
    290,105.14x = 75,870,543,175.98
  5. Step 5: Solve for x
    x = 75,870,543,175.98/290,105.14
  6. Step 6: Final answer
    x = 261,527.75

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1.5x scale

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.