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Finding the Fourth Proportional to 412,523.54, 618,785.85 and 113,006.75

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Solution

The fourth proportional to 412,523.54, 618,785.85 and 113,006.75 is: 169,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,523.54 : 618,785.85 = 113,006.75 : x
  2. Step 2: Convert to fraction form
    412,523.54/618,785.85 = 113,006.75/x
  3. Step 3: Cross multiply
    412,523.54x = 618,785.85 × 113,006.75
  4. Step 4: Simplify right side
    412,523.54x = 69,926,977,289.45
  5. Step 5: Solve for x
    x = 69,926,977,289.45/412,523.54
  6. Step 6: Final answer
    x = 169,510.27

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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.