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Finding the Fourth Proportional to 298,511.20, 447,766.80 and 172,367.20

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Solution

The fourth proportional to 298,511.20, 447,766.80 and 172,367.20 is: 258,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,511.20 : 447,766.80 = 172,367.20 : x
  2. Step 2: Convert to fraction form
    298,511.20/447,766.80 = 172,367.20/x
  3. Step 3: Cross multiply
    298,511.20x = 447,766.80 × 172,367.20
  4. Step 4: Simplify right side
    298,511.20x = 77,180,309,568.96
  5. Step 5: Solve for x
    x = 77,180,309,568.96/298,511.20
  6. Step 6: Final answer
    x = 258,550.80

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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.