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Finding the Fourth Proportional to 310,568.60, 465,896.10 and 133,074.20

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Solution

The fourth proportional to 310,568.60, 465,896.10 and 133,074.20 is: 199,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,568.60 : 465,896.10 = 133,074.20 : x
  2. Step 2: Convert to fraction form
    310,568.60/465,896.10 = 133,074.20/x
  3. Step 3: Cross multiply
    310,568.60x = 465,896.10 × 133,074.20
  4. Step 4: Simplify right side
    310,568.60x = 61,998,750,790.62
  5. Step 5: Solve for x
    x = 61,998,750,790.62/310,568.60
  6. Step 6: Final answer
    x = 199,629.81

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Why These Related Problems?

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