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Finding the Fourth Proportional to 397,258.40, 595,887.60 and 197,609.60

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Solution

The fourth proportional to 397,258.40, 595,887.60 and 197,609.60 is: 296,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,258.40 : 595,887.60 = 197,609.60 : x
  2. Step 2: Convert to fraction form
    397,258.40/595,887.60 = 197,609.60/x
  3. Step 3: Cross multiply
    397,258.40x = 595,887.60 × 197,609.60
  4. Step 4: Simplify right side
    397,258.40x = 117,753,110,280.96
  5. Step 5: Solve for x
    x = 117,753,110,280.96/397,258.40
  6. Step 6: Final answer
    x = 296,414.40

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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.