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Finding the Fourth Proportional to 594,428.53, 820,311.24 and 339,785.20

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Solution

The fourth proportional to 594,428.53, 820,311.24 and 339,785.20 is: 468,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,428.53 : 820,311.24 = 339,785.20 : x
  2. Step 2: Convert to fraction form
    594,428.53/820,311.24 = 339,785.20/x
  3. Step 3: Cross multiply
    594,428.53x = 820,311.24 × 339,785.20
  4. Step 4: Simplify right side
    594,428.53x = 278,729,618,745.65
  5. Step 5: Solve for x
    x = 278,729,618,745.65/594,428.53
  6. Step 6: Final answer
    x = 468,903.50

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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.