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Finding the Fourth Proportional to 686,212.68, 946,973.61 and 384,406.68

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Solution

The fourth proportional to 686,212.68, 946,973.61 and 384,406.68 is: 530,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,212.68 : 946,973.61 = 384,406.68 : x
  2. Step 2: Convert to fraction form
    686,212.68/946,973.61 = 384,406.68/x
  3. Step 3: Cross multiply
    686,212.68x = 946,973.61 × 384,406.68
  4. Step 4: Simplify right side
    686,212.68x = 364,022,981,467.72
  5. Step 5: Solve for x
    x = 364,022,981,467.72/686,212.68
  6. Step 6: Final answer
    x = 530,481.28

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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.