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Finding the Fourth Proportional to 322,523.20, 483,381.60 and 164,814.40

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Solution

The fourth proportional to 322,523.20, 483,381.60 and 164,814.40 is: 247,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,523.20 : 483,381.60 = 164,814.40 : x
  2. Step 2: Convert to fraction form
    322,523.20/483,381.60 = 164,814.40/x
  3. Step 3: Cross multiply
    322,523.20x = 483,381.60 × 164,814.40
  4. Step 4: Simplify right side
    322,523.20x = 79,668,248,375.04
  5. Step 5: Solve for x
    x = 79,668,248,375.04/322,523.20
  6. Step 6: Final answer
    x = 247,015.56

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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.