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Finding the Fourth Proportional to 327,151.72, 490,831.26 and 116,785

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Solution

The fourth proportional to 327,151.72, 490,831.26 and 116,785 is: 175,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,151.72 : 490,831.26 = 116,785 : x
  2. Step 2: Convert to fraction form
    327,151.72/490,831.26 = 116,785/x
  3. Step 3: Cross multiply
    327,151.72x = 490,831.26 × 116,785
  4. Step 4: Simplify right side
    327,151.72x = 57,321,728,699.10
  5. Step 5: Solve for x
    x = 57,321,728,699.10/327,151.72
  6. Step 6: Final answer
    x = 175,214.51

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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.