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Finding the Fourth Proportional to 332,156.70, 498,410.01 and 192,013.74

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Solution

The fourth proportional to 332,156.70, 498,410.01 and 192,013.74 is: 288,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,156.70 : 498,410.01 = 192,013.74 : x
  2. Step 2: Convert to fraction form
    332,156.70/498,410.01 = 192,013.74/x
  3. Step 3: Cross multiply
    332,156.70x = 498,410.01 × 192,013.74
  4. Step 4: Simplify right side
    332,156.70x = 95,701,570,073.54
  5. Step 5: Solve for x
    x = 95,701,570,073.54/332,156.70
  6. Step 6: Final answer
    x = 288,121.75

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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.