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Finding the Fourth Proportional to 433,286.32, 597,923.91 and 239,689

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Solution

The fourth proportional to 433,286.32, 597,923.91 and 239,689 is: 330,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,286.32 : 597,923.91 = 239,689 : x
  2. Step 2: Convert to fraction form
    433,286.32/597,923.91 = 239,689/x
  3. Step 3: Cross multiply
    433,286.32x = 597,923.91 × 239,689
  4. Step 4: Simplify right side
    433,286.32x = 143,315,784,063.99
  5. Step 5: Solve for x
    x = 143,315,784,063.99/433,286.32
  6. Step 6: Final answer
    x = 330,764.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.