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Finding the Fourth Proportional to 324,002.60, 485,615.10 and 166,149.80

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Solution

The fourth proportional to 324,002.60, 485,615.10 and 166,149.80 is: 249,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,002.60 : 485,615.10 = 166,149.80 : x
  2. Step 2: Convert to fraction form
    324,002.60/485,615.10 = 166,149.80/x
  3. Step 3: Cross multiply
    324,002.60x = 485,615.10 × 166,149.80
  4. Step 4: Simplify right side
    324,002.60x = 80,684,851,741.98
  5. Step 5: Solve for x
    x = 80,684,851,741.98/324,002.60
  6. Step 6: Final answer
    x = 249,025.32

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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.