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Finding the Fourth Proportional to 314,542.38, 471,481.20 and 214,454.46

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Solution

The fourth proportional to 314,542.38, 471,481.20 and 214,454.46 is: 321,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,542.38 : 471,481.20 = 214,454.46 : x
  2. Step 2: Convert to fraction form
    314,542.38/471,481.20 = 214,454.46/x
  3. Step 3: Cross multiply
    314,542.38x = 471,481.20 × 214,454.46
  4. Step 4: Simplify right side
    314,542.38x = 101,111,246,146.15
  5. Step 5: Solve for x
    x = 101,111,246,146.15/314,542.38
  6. Step 6: Final answer
    x = 321,455.08

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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.