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Finding the Fourth Proportional to 332,178.68, 458,407.50 and 198,039.80

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Solution

The fourth proportional to 332,178.68, 458,407.50 and 198,039.80 is: 273,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,178.68 : 458,407.50 = 198,039.80 : x
  2. Step 2: Convert to fraction form
    332,178.68/458,407.50 = 198,039.80/x
  3. Step 3: Cross multiply
    332,178.68x = 458,407.50 × 198,039.80
  4. Step 4: Simplify right side
    332,178.68x = 90,782,929,618.50
  5. Step 5: Solve for x
    x = 90,782,929,618.50/332,178.68
  6. Step 6: Final answer
    x = 273,295.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.