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Finding the Fourth Proportional to 323,378.22, 484,699.50 and 196,739.31

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Solution

The fourth proportional to 323,378.22, 484,699.50 and 196,739.31 is: 294,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,378.22 : 484,699.50 = 196,739.31 : x
  2. Step 2: Convert to fraction form
    323,378.22/484,699.50 = 196,739.31/x
  3. Step 3: Cross multiply
    323,378.22x = 484,699.50 × 196,739.31
  4. Step 4: Simplify right side
    323,378.22x = 95,359,445,187.35
  5. Step 5: Solve for x
    x = 95,359,445,187.35/323,378.22
  6. Step 6: Final answer
    x = 294,885.18

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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.