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Finding the Fourth Proportional to 322,190.19, 483,372.77 and 97,558.16

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Solution

The fourth proportional to 322,190.19, 483,372.77 and 97,558.16 is: 146,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,190.19 : 483,372.77 = 97,558.16 : x
  2. Step 2: Convert to fraction form
    322,190.19/483,372.77 = 97,558.16/x
  3. Step 3: Cross multiply
    322,190.19x = 483,372.77 × 97,558.16
  4. Step 4: Simplify right side
    322,190.19x = 47,156,958,035.30
  5. Step 5: Solve for x
    x = 47,156,958,035.30/322,190.19
  6. Step 6: Final answer
    x = 146,363.73

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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.