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Finding the Fourth Proportional to 331,427.60, 457,463.40 and 298,768.40

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Solution

The fourth proportional to 331,427.60, 457,463.40 and 298,768.40 is: 412,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,427.60 : 457,463.40 = 298,768.40 : x
  2. Step 2: Convert to fraction form
    331,427.60/457,463.40 = 298,768.40/x
  3. Step 3: Cross multiply
    331,427.60x = 457,463.40 × 298,768.40
  4. Step 4: Simplify right side
    331,427.60x = 136,675,608,076.56
  5. Step 5: Solve for x
    x = 136,675,608,076.56/331,427.60
  6. Step 6: Final answer
    x = 412,384.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.