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Finding the Fourth Proportional to 341,447.78, 471,255.46 and 198,327.62

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Solution

The fourth proportional to 341,447.78, 471,255.46 and 198,327.62 is: 273,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,447.78 : 471,255.46 = 198,327.62 : x
  2. Step 2: Convert to fraction form
    341,447.78/471,255.46 = 198,327.62/x
  3. Step 3: Cross multiply
    341,447.78x = 471,255.46 × 198,327.62
  4. Step 4: Simplify right side
    341,447.78x = 93,462,973,793.81
  5. Step 5: Solve for x
    x = 93,462,973,793.81/341,447.78
  6. Step 6: Final answer
    x = 273,725.53

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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.