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Finding the Fourth Proportional to 396,543.20, 595,203.60 and 197,088.80

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Solution

The fourth proportional to 396,543.20, 595,203.60 and 197,088.80 is: 295,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,543.20 : 595,203.60 = 197,088.80 : x
  2. Step 2: Convert to fraction form
    396,543.20/595,203.60 = 197,088.80/x
  3. Step 3: Cross multiply
    396,543.20x = 595,203.60 × 197,088.80
  4. Step 4: Simplify right side
    396,543.20x = 117,307,963,279.68
  5. Step 5: Solve for x
    x = 117,307,963,279.68/396,543.20
  6. Step 6: Final answer
    x = 295,826.44

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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.