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Finding the Fourth Proportional to 513,211.40, 769,834.70 and 158,222.60

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Solution

The fourth proportional to 513,211.40, 769,834.70 and 158,222.60 is: 237,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,211.40 : 769,834.70 = 158,222.60 : x
  2. Step 2: Convert to fraction form
    513,211.40/769,834.70 = 158,222.60/x
  3. Step 3: Cross multiply
    513,211.40x = 769,834.70 × 158,222.60
  4. Step 4: Simplify right side
    513,211.40x = 121,805,247,804.22
  5. Step 5: Solve for x
    x = 121,805,247,804.22/513,211.40
  6. Step 6: Final answer
    x = 237,339.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.