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Finding the Fourth Proportional to 335,890.34, 463,494.40 and 206,808.34

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Solution

The fourth proportional to 335,890.34, 463,494.40 and 206,808.34 is: 285,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,890.34 : 463,494.40 = 206,808.34 : x
  2. Step 2: Convert to fraction form
    335,890.34/463,494.40 = 206,808.34/x
  3. Step 3: Cross multiply
    335,890.34x = 463,494.40 × 206,808.34
  4. Step 4: Simplify right side
    335,890.34x = 95,854,507,463.30
  5. Step 5: Solve for x
    x = 95,854,507,463.30/335,890.34
  6. Step 6: Final answer
    x = 285,374.41

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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.