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Finding the Fourth Proportional to 332,576, 498,868.32 and 110,960

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Solution

The fourth proportional to 332,576, 498,868.32 and 110,960 is: 166,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,576 : 498,868.32 = 110,960 : x
  2. Step 2: Convert to fraction form
    332,576/498,868.32 = 110,960/x
  3. Step 3: Cross multiply
    332,576x = 498,868.32 × 110,960
  4. Step 4: Simplify right side
    332,576x = 55,354,428,787.20
  5. Step 5: Solve for x
    x = 55,354,428,787.20/332,576
  6. Step 6: Final answer
    x = 166,441.44

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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.