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Finding the Fourth Proportional to 410,785.13, 616,255.46 and 189,169.13

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Solution

The fourth proportional to 410,785.13, 616,255.46 and 189,169.13 is: 283,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,785.13 : 616,255.46 = 189,169.13 : x
  2. Step 2: Convert to fraction form
    410,785.13/616,255.46 = 189,169.13/x
  3. Step 3: Cross multiply
    410,785.13x = 616,255.46 × 189,169.13
  4. Step 4: Simplify right side
    410,785.13x = 116,576,505,198.83
  5. Step 5: Solve for x
    x = 116,576,505,198.83/410,785.13
  6. Step 6: Final answer
    x = 283,789.50

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1.5x scale

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.