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Finding the Fourth Proportional to 297,924.40, 447,059.40 and 110,954.80

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Solution

The fourth proportional to 297,924.40, 447,059.40 and 110,954.80 is: 166,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,924.40 : 447,059.40 = 110,954.80 : x
  2. Step 2: Convert to fraction form
    297,924.40/447,059.40 = 110,954.80/x
  3. Step 3: Cross multiply
    297,924.40x = 447,059.40 × 110,954.80
  4. Step 4: Simplify right side
    297,924.40x = 49,603,386,315.12
  5. Step 5: Solve for x
    x = 49,603,386,315.12/297,924.40
  6. Step 6: Final answer
    x = 166,496.56

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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.