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Finding the Fourth Proportional to 427,595.85, 641,134.58 and 214,115.49

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Solution

The fourth proportional to 427,595.85, 641,134.58 and 214,115.49 is: 321,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,595.85 : 641,134.58 = 214,115.49 : x
  2. Step 2: Convert to fraction form
    427,595.85/641,134.58 = 214,115.49/x
  3. Step 3: Cross multiply
    427,595.85x = 641,134.58 × 214,115.49
  4. Step 4: Simplify right side
    427,595.85x = 137,276,843,682.07
  5. Step 5: Solve for x
    x = 137,276,843,682.07/427,595.85
  6. Step 6: Final answer
    x = 321,043.44

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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.