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Finding the Fourth Proportional to 310,653.76, 466,078.44 and 110,969.71

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Solution

The fourth proportional to 310,653.76, 466,078.44 and 110,969.71 is: 166,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,653.76 : 466,078.44 = 110,969.71 : x
  2. Step 2: Convert to fraction form
    310,653.76/466,078.44 = 110,969.71/x
  3. Step 3: Cross multiply
    310,653.76x = 466,078.44 × 110,969.71
  4. Step 4: Simplify right side
    310,653.76x = 51,720,589,324.05
  5. Step 5: Solve for x
    x = 51,720,589,324.05/310,653.76
  6. Step 6: Final answer
    x = 166,489.50

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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.