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Finding the Fourth Proportional to 312,626.36, 468,938.32 and 75,969.74

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Solution

The fourth proportional to 312,626.36, 468,938.32 and 75,969.74 is: 113,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,626.36 : 468,938.32 = 75,969.74 : x
  2. Step 2: Convert to fraction form
    312,626.36/468,938.32 = 75,969.74/x
  3. Step 3: Cross multiply
    312,626.36x = 468,938.32 × 75,969.74
  4. Step 4: Simplify right side
    312,626.36x = 35,625,122,246.44
  5. Step 5: Solve for x
    x = 35,625,122,246.44/312,626.36
  6. Step 6: Final answer
    x = 113,954.31

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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.