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Finding the Fourth Proportional to 367,010.12, 506,467.85 and 214,137.20

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Solution

The fourth proportional to 367,010.12, 506,467.85 and 214,137.20 is: 295,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,010.12 : 506,467.85 = 214,137.20 : x
  2. Step 2: Convert to fraction form
    367,010.12/506,467.85 = 214,137.20/x
  3. Step 3: Cross multiply
    367,010.12x = 506,467.85 × 214,137.20
  4. Step 4: Simplify right side
    367,010.12x = 108,453,603,686.00
  5. Step 5: Solve for x
    x = 108,453,603,686.00/367,010.12
  6. Step 6: Final answer
    x = 295,505.76

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