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Finding the Fourth Proportional to 323,021.14, 484,576.02 and 109,731.78

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Solution

The fourth proportional to 323,021.14, 484,576.02 and 109,731.78 is: 164,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,021.14 : 484,576.02 = 109,731.78 : x
  2. Step 2: Convert to fraction form
    323,021.14/484,576.02 = 109,731.78/x
  3. Step 3: Cross multiply
    323,021.14x = 484,576.02 × 109,731.78
  4. Step 4: Simplify right side
    323,021.14x = 53,173,389,219.92
  5. Step 5: Solve for x
    x = 53,173,389,219.92/323,021.14
  6. Step 6: Final answer
    x = 164,612.72

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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.