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Finding the Fourth Proportional to 226,993.28, 340,697.28 and 174,231.68

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Solution

The fourth proportional to 226,993.28, 340,697.28 and 174,231.68 is: 261,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,993.28 : 340,697.28 = 174,231.68 : x
  2. Step 2: Convert to fraction form
    226,993.28/340,697.28 = 174,231.68/x
  3. Step 3: Cross multiply
    226,993.28x = 340,697.28 × 174,231.68
  4. Step 4: Simplify right side
    226,993.28x = 59,360,259,465.83
  5. Step 5: Solve for x
    x = 59,360,259,465.83/226,993.28
  6. Step 6: Final answer
    x = 261,506.68

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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.