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Finding the Fourth Proportional to 329,520.28, 494,324.70 and 116,238.10

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Solution

The fourth proportional to 329,520.28, 494,324.70 and 116,238.10 is: 174,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,520.28 : 494,324.70 = 116,238.10 : x
  2. Step 2: Convert to fraction form
    329,520.28/494,324.70 = 116,238.10/x
  3. Step 3: Cross multiply
    329,520.28x = 494,324.70 × 116,238.10
  4. Step 4: Simplify right side
    329,520.28x = 57,459,363,911.07
  5. Step 5: Solve for x
    x = 57,459,363,911.07/329,520.28
  6. Step 6: Final answer
    x = 174,372.77

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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.