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Finding the Fourth Proportional to 383,043.32, 574,165.85 and 214,316.27

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Solution

The fourth proportional to 383,043.32, 574,165.85 and 214,316.27 is: 321,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,043.32 : 574,165.85 = 214,316.27 : x
  2. Step 2: Convert to fraction form
    383,043.32/574,165.85 = 214,316.27/x
  3. Step 3: Cross multiply
    383,043.32x = 574,165.85 × 214,316.27
  4. Step 4: Simplify right side
    383,043.32x = 123,053,083,333.38
  5. Step 5: Solve for x
    x = 123,053,083,333.38/383,043.32
  6. Step 6: Final answer
    x = 321,251.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.