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Finding the Fourth Proportional to 412,863.60, 619,296.33 and 113,348.28

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Solution

The fourth proportional to 412,863.60, 619,296.33 and 113,348.28 is: 170,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,863.60 : 619,296.33 = 113,348.28 : x
  2. Step 2: Convert to fraction form
    412,863.60/619,296.33 = 113,348.28/x
  3. Step 3: Cross multiply
    412,863.60x = 619,296.33 × 113,348.28
  4. Step 4: Simplify right side
    412,863.60x = 70,196,173,815.81
  5. Step 5: Solve for x
    x = 70,196,173,815.81/412,863.60
  6. Step 6: Final answer
    x = 170,022.68

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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.