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Finding the Fourth Proportional to 397,101.60, 595,652.40 and 329,450.40

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Solution

The fourth proportional to 397,101.60, 595,652.40 and 329,450.40 is: 494,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,101.60 : 595,652.40 = 329,450.40 : x
  2. Step 2: Convert to fraction form
    397,101.60/595,652.40 = 329,450.40/x
  3. Step 3: Cross multiply
    397,101.60x = 595,652.40 × 329,450.40
  4. Step 4: Simplify right side
    397,101.60x = 196,237,921,440.96
  5. Step 5: Solve for x
    x = 196,237,921,440.96/397,101.60
  6. Step 6: Final answer
    x = 494,175.60

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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.