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Finding the Fourth Proportional to 455,162.40, 682,743.60 and 287,200.80

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Solution

The fourth proportional to 455,162.40, 682,743.60 and 287,200.80 is: 430,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,162.40 : 682,743.60 = 287,200.80 : x
  2. Step 2: Convert to fraction form
    455,162.40/682,743.60 = 287,200.80/x
  3. Step 3: Cross multiply
    455,162.40x = 682,743.60 × 287,200.80
  4. Step 4: Simplify right side
    455,162.40x = 196,084,508,114.88
  5. Step 5: Solve for x
    x = 196,084,508,114.88/455,162.40
  6. Step 6: Final answer
    x = 430,801.20

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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.