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Finding the Fourth Proportional to 397,321.98, 595,977.93 and 97,806.30

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Solution

The fourth proportional to 397,321.98, 595,977.93 and 97,806.30 is: 146,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321.98 : 595,977.93 = 97,806.30 : x
  2. Step 2: Convert to fraction form
    397,321.98/595,977.93 = 97,806.30/x
  3. Step 3: Cross multiply
    397,321.98x = 595,977.93 × 97,806.30
  4. Step 4: Simplify right side
    397,321.98x = 58,290,396,214.96
  5. Step 5: Solve for x
    x = 58,290,396,214.96/397,321.98
  6. Step 6: Final answer
    x = 146,708.21

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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.