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Finding the Fourth Proportional to 307,212.40, 460,883.40 and 96,871.60

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Solution

The fourth proportional to 307,212.40, 460,883.40 and 96,871.60 is: 145,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,212.40 : 460,883.40 = 96,871.60 : x
  2. Step 2: Convert to fraction form
    307,212.40/460,883.40 = 96,871.60/x
  3. Step 3: Cross multiply
    307,212.40x = 460,883.40 × 96,871.60
  4. Step 4: Simplify right side
    307,212.40x = 44,646,512,371.44
  5. Step 5: Solve for x
    x = 44,646,512,371.44/307,212.40
  6. Step 6: Final answer
    x = 145,327.83

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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.