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Finding the Fourth Proportional to 496,002.80, 744,295.80 and 180,491.60

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Solution

The fourth proportional to 496,002.80, 744,295.80 and 180,491.60 is: 270,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,002.80 : 744,295.80 = 180,491.60 : x
  2. Step 2: Convert to fraction form
    496,002.80/744,295.80 = 180,491.60/x
  3. Step 3: Cross multiply
    496,002.80x = 744,295.80 × 180,491.60
  4. Step 4: Simplify right side
    496,002.80x = 134,339,139,815.28
  5. Step 5: Solve for x
    x = 134,339,139,815.28/496,002.80
  6. Step 6: Final answer
    x = 270,843.51

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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.