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Finding the Fourth Proportional to 323,381.25, 484,704.03 and 196,742.34

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Solution

The fourth proportional to 323,381.25, 484,704.03 and 196,742.34 is: 294,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,381.25 : 484,704.03 = 196,742.34 : x
  2. Step 2: Convert to fraction form
    323,381.25/484,704.03 = 196,742.34/x
  3. Step 3: Cross multiply
    323,381.25x = 484,704.03 × 196,742.34
  4. Step 4: Simplify right side
    323,381.25x = 95,361,805,069.63
  5. Step 5: Solve for x
    x = 95,361,805,069.63/323,381.25
  6. Step 6: Final answer
    x = 294,889.72

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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.