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Finding the Fourth Proportional to 331,471.72, 497,137.74 and 106,852.24

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Solution

The fourth proportional to 331,471.72, 497,137.74 and 106,852.24 is: 160,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,471.72 : 497,137.74 = 106,852.24 : x
  2. Step 2: Convert to fraction form
    331,471.72/497,137.74 = 106,852.24/x
  3. Step 3: Cross multiply
    331,471.72x = 497,137.74 × 106,852.24
  4. Step 4: Simplify right side
    331,471.72x = 53,120,281,107.54
  5. Step 5: Solve for x
    x = 53,120,281,107.54/331,471.72
  6. Step 6: Final answer
    x = 160,255.85

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1.5x scale

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.