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Finding the Fourth Proportional to 397,834.06, 596,745.24 and 98,314.63

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Solution

The fourth proportional to 397,834.06, 596,745.24 and 98,314.63 is: 147,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,834.06 : 596,745.24 = 98,314.63 : x
  2. Step 2: Convert to fraction form
    397,834.06/596,745.24 = 98,314.63/x
  3. Step 3: Cross multiply
    397,834.06x = 596,745.24 × 98,314.63
  4. Step 4: Simplify right side
    397,834.06x = 58,668,783,999.56
  5. Step 5: Solve for x
    x = 58,668,783,999.56/397,834.06
  6. Step 6: Final answer
    x = 147,470.49

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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.