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Finding the Fourth Proportional to 322,496.70, 483,745.05 and 97,856.70

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Solution

The fourth proportional to 322,496.70, 483,745.05 and 97,856.70 is: 146,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,496.70 : 483,745.05 = 97,856.70 : x
  2. Step 2: Convert to fraction form
    322,496.70/483,745.05 = 97,856.70/x
  3. Step 3: Cross multiply
    322,496.70x = 483,745.05 × 97,856.70
  4. Step 4: Simplify right side
    322,496.70x = 47,337,694,234.34
  5. Step 5: Solve for x
    x = 47,337,694,234.34/322,496.70
  6. Step 6: Final answer
    x = 146,785.05

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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.