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Finding the Fourth Proportional to 329,661.81, 494,363.31 and 116,384.20

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Solution

The fourth proportional to 329,661.81, 494,363.31 and 116,384.20 is: 174,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,661.81 : 494,363.31 = 116,384.20 : x
  2. Step 2: Convert to fraction form
    329,661.81/494,363.31 = 116,384.20/x
  3. Step 3: Cross multiply
    329,661.81x = 494,363.31 × 116,384.20
  4. Step 4: Simplify right side
    329,661.81x = 57,536,079,398.10
  5. Step 5: Solve for x
    x = 57,536,079,398.10/329,661.81
  6. Step 6: Final answer
    x = 174,530.62

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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.