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Finding the Fourth Proportional to 307,766.40, 461,649.60 and 189,052.80

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Solution

The fourth proportional to 307,766.40, 461,649.60 and 189,052.80 is: 283,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766.40 : 461,649.60 = 189,052.80 : x
  2. Step 2: Convert to fraction form
    307,766.40/461,649.60 = 189,052.80/x
  3. Step 3: Cross multiply
    307,766.40x = 461,649.60 × 189,052.80
  4. Step 4: Simplify right side
    307,766.40x = 87,276,149,498.88
  5. Step 5: Solve for x
    x = 87,276,149,498.88/307,766.40
  6. Step 6: Final answer
    x = 283,579.20

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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.