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Finding the Fourth Proportional to 283,288.80, 424,933.20 and 194,815.20

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Solution

The fourth proportional to 283,288.80, 424,933.20 and 194,815.20 is: 292,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,288.80 : 424,933.20 = 194,815.20 : x
  2. Step 2: Convert to fraction form
    283,288.80/424,933.20 = 194,815.20/x
  3. Step 3: Cross multiply
    283,288.80x = 424,933.20 × 194,815.20
  4. Step 4: Simplify right side
    283,288.80x = 82,783,446,344.64
  5. Step 5: Solve for x
    x = 82,783,446,344.64/283,288.80
  6. Step 6: Final answer
    x = 292,222.80

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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.