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Finding the Fourth Proportional to 664,980.80, 996,823.20 and 380,379.20

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Solution

The fourth proportional to 664,980.80, 996,823.20 and 380,379.20 is: 570,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,980.80 : 996,823.20 = 380,379.20 : x
  2. Step 2: Convert to fraction form
    664,980.80/996,823.20 = 380,379.20/x
  3. Step 3: Cross multiply
    664,980.80x = 996,823.20 × 380,379.20
  4. Step 4: Simplify right side
    664,980.80x = 379,170,811,357.44
  5. Step 5: Solve for x
    x = 379,170,811,357.44/664,980.80
  6. Step 6: Final answer
    x = 570,198.13

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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.