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Finding the Fourth Proportional to 313,269.53, 470,074.39 and 133,325.60

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Solution

The fourth proportional to 313,269.53, 470,074.39 and 133,325.60 is: 200,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,269.53 : 470,074.39 = 133,325.60 : x
  2. Step 2: Convert to fraction form
    313,269.53/470,074.39 = 133,325.60/x
  3. Step 3: Cross multiply
    313,269.53x = 470,074.39 × 133,325.60
  4. Step 4: Simplify right side
    313,269.53x = 62,672,947,407.70
  5. Step 5: Solve for x
    x = 62,672,947,407.70/313,269.53
  6. Step 6: Final answer
    x = 200,060.79

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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.