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Finding the Fourth Proportional to 474,745.92, 712,181.42 and 154,785.43

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Solution

The fourth proportional to 474,745.92, 712,181.42 and 154,785.43 is: 232,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,745.92 : 712,181.42 = 154,785.43 : x
  2. Step 2: Convert to fraction form
    474,745.92/712,181.42 = 154,785.43/x
  3. Step 3: Cross multiply
    474,745.92x = 712,181.42 × 154,785.43
  4. Step 4: Simplify right side
    474,745.92x = 110,235,306,945.75
  5. Step 5: Solve for x
    x = 110,235,306,945.75/474,745.92
  6. Step 6: Final answer
    x = 232,198.53

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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.