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Finding the Fourth Proportional to 313,828.96, 433,085.50 and 170,589

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Solution

The fourth proportional to 313,828.96, 433,085.50 and 170,589 is: 235,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,828.96 : 433,085.50 = 170,589 : x
  2. Step 2: Convert to fraction form
    313,828.96/433,085.50 = 170,589/x
  3. Step 3: Cross multiply
    313,828.96x = 433,085.50 × 170,589
  4. Step 4: Simplify right side
    313,828.96x = 73,879,622,359.50
  5. Step 5: Solve for x
    x = 73,879,622,359.50/313,828.96
  6. Step 6: Final answer
    x = 235,413.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.