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Finding the Fourth Proportional to 550,361.96, 825,581.34 and 217,937

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Solution

The fourth proportional to 550,361.96, 825,581.34 and 217,937 is: 326,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,361.96 : 825,581.34 = 217,937 : x
  2. Step 2: Convert to fraction form
    550,361.96/825,581.34 = 217,937/x
  3. Step 3: Cross multiply
    550,361.96x = 825,581.34 × 217,937
  4. Step 4: Simplify right side
    550,361.96x = 179,924,720,495.58
  5. Step 5: Solve for x
    x = 179,924,720,495.58/550,361.96
  6. Step 6: Final answer
    x = 326,920.71

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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.