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Finding the Fourth Proportional to 412,863.58, 619,296.32 and 113,348.26

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Solution

The fourth proportional to 412,863.58, 619,296.32 and 113,348.26 is: 170,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,863.58 : 619,296.32 = 113,348.26 : x
  2. Step 2: Convert to fraction form
    412,863.58/619,296.32 = 113,348.26/x
  3. Step 3: Cross multiply
    412,863.58x = 619,296.32 × 113,348.26
  4. Step 4: Simplify right side
    412,863.58x = 70,196,160,296.40
  5. Step 5: Solve for x
    x = 70,196,160,296.40/412,863.58
  6. Step 6: Final answer
    x = 170,022.65

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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.