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Finding the Fourth Proportional to 397,327.32, 595,974.96 and 97,793.28

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Solution

The fourth proportional to 397,327.32, 595,974.96 and 97,793.28 is: 146,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,327.32 : 595,974.96 = 97,793.28 : x
  2. Step 2: Convert to fraction form
    397,327.32/595,974.96 = 97,793.28/x
  3. Step 3: Cross multiply
    397,327.32x = 595,974.96 × 97,793.28
  4. Step 4: Simplify right side
    397,327.32x = 58,282,346,136.27
  5. Step 5: Solve for x
    x = 58,282,346,136.27/397,327.32
  6. Step 6: Final answer
    x = 146,685.98

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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.