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Finding the Fourth Proportional to 428,466.74, 641,905.50 and 214,983.96

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Solution

The fourth proportional to 428,466.74, 641,905.50 and 214,983.96 is: 322,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,466.74 : 641,905.50 = 214,983.96 : x
  2. Step 2: Convert to fraction form
    428,466.74/641,905.50 = 214,983.96/x
  3. Step 3: Cross multiply
    428,466.74x = 641,905.50 × 214,983.96
  4. Step 4: Simplify right side
    428,466.74x = 137,999,386,335.78
  5. Step 5: Solve for x
    x = 137,999,386,335.78/428,466.74
  6. Step 6: Final answer
    x = 322,077.24

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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.