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Finding the Fourth Proportional to 322,516.92, 483,816.60 and 106,303.20

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Solution

The fourth proportional to 322,516.92, 483,816.60 and 106,303.20 is: 159,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,516.92 : 483,816.60 = 106,303.20 : x
  2. Step 2: Convert to fraction form
    322,516.92/483,816.60 = 106,303.20/x
  3. Step 3: Cross multiply
    322,516.92x = 483,816.60 × 106,303.20
  4. Step 4: Simplify right side
    322,516.92x = 51,431,252,793.12
  5. Step 5: Solve for x
    x = 51,431,252,793.12/322,516.92
  6. Step 6: Final answer
    x = 159,468.39

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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.