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Finding the Fourth Proportional to 322,006.48, 483,011.40 and 188,793.34

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Solution

The fourth proportional to 322,006.48, 483,011.40 and 188,793.34 is: 283,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,006.48 : 483,011.40 = 188,793.34 : x
  2. Step 2: Convert to fraction form
    322,006.48/483,011.40 = 188,793.34/x
  3. Step 3: Cross multiply
    322,006.48x = 483,011.40 × 188,793.34
  4. Step 4: Simplify right side
    322,006.48x = 91,189,335,464.08
  5. Step 5: Solve for x
    x = 91,189,335,464.08/322,006.48
  6. Step 6: Final answer
    x = 283,190.99

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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.