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Finding the Fourth Proportional to 332,146.94, 498,299.49 and 107,507.41

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Solution

The fourth proportional to 332,146.94, 498,299.49 and 107,507.41 is: 161,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,146.94 : 498,299.49 = 107,507.41 : x
  2. Step 2: Convert to fraction form
    332,146.94/498,299.49 = 107,507.41/x
  3. Step 3: Cross multiply
    332,146.94x = 498,299.49 × 107,507.41
  4. Step 4: Simplify right side
    332,146.94x = 53,570,886,328.47
  5. Step 5: Solve for x
    x = 53,570,886,328.47/332,146.94
  6. Step 6: Final answer
    x = 161,286.71

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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.