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Finding the Fourth Proportional to 331,202.80, 496,804.20 and 298,025.20

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Solution

The fourth proportional to 331,202.80, 496,804.20 and 298,025.20 is: 447,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,202.80 : 496,804.20 = 298,025.20 : x
  2. Step 2: Convert to fraction form
    331,202.80/496,804.20 = 298,025.20/x
  3. Step 3: Cross multiply
    331,202.80x = 496,804.20 × 298,025.20
  4. Step 4: Simplify right side
    331,202.80x = 148,060,171,065.84
  5. Step 5: Solve for x
    x = 148,060,171,065.84/331,202.80
  6. Step 6: Final answer
    x = 447,037.80

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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.