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Finding the Fourth Proportional to 332,179.80, 498,269.70 and 214,081.80

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Solution

The fourth proportional to 332,179.80, 498,269.70 and 214,081.80 is: 321,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,179.80 : 498,269.70 = 214,081.80 : x
  2. Step 2: Convert to fraction form
    332,179.80/498,269.70 = 214,081.80/x
  3. Step 3: Cross multiply
    332,179.80x = 498,269.70 × 214,081.80
  4. Step 4: Simplify right side
    332,179.80x = 106,670,474,261.46
  5. Step 5: Solve for x
    x = 106,670,474,261.46/332,179.80
  6. Step 6: Final answer
    x = 321,122.70

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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.