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Finding the Fourth Proportional to 329,662.81, 494,364.81 and 116,385.20

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Solution

The fourth proportional to 329,662.81, 494,364.81 and 116,385.20 is: 174,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,662.81 : 494,364.81 = 116,385.20 : x
  2. Step 2: Convert to fraction form
    329,662.81/494,364.81 = 116,385.20/x
  3. Step 3: Cross multiply
    329,662.81x = 494,364.81 × 116,385.20
  4. Step 4: Simplify right side
    329,662.81x = 57,536,747,284.81
  5. Step 5: Solve for x
    x = 57,536,747,284.81/329,662.81
  6. Step 6: Final answer
    x = 174,532.11

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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.