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Finding the Fourth Proportional to 455,096.64, 682,654.80 and 139,546.56

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Solution

The fourth proportional to 455,096.64, 682,654.80 and 139,546.56 is: 209,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,096.64 : 682,654.80 = 139,546.56 : x
  2. Step 2: Convert to fraction form
    455,096.64/682,654.80 = 139,546.56/x
  3. Step 3: Cross multiply
    455,096.64x = 682,654.80 × 139,546.56
  4. Step 4: Simplify right side
    455,096.64x = 95,262,129,007.49
  5. Step 5: Solve for x
    x = 95,262,129,007.49/455,096.64
  6. Step 6: Final answer
    x = 209,322.86

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Why These Related Problems?

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