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Finding the Fourth Proportional to 422,205.60, 632,425.20 and 197,757.60

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Solution

The fourth proportional to 422,205.60, 632,425.20 and 197,757.60 is: 296,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,205.60 : 632,425.20 = 197,757.60 : x
  2. Step 2: Convert to fraction form
    422,205.60/632,425.20 = 197,757.60/x
  3. Step 3: Cross multiply
    422,205.60x = 632,425.20 × 197,757.60
  4. Step 4: Simplify right side
    422,205.60x = 125,066,889,731.52
  5. Step 5: Solve for x
    x = 125,066,889,731.52/422,205.60
  6. Step 6: Final answer
    x = 296,222.72

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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.