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Finding the Fourth Proportional to 329,951.59, 494,921.31 and 105,310.24

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Solution

The fourth proportional to 329,951.59, 494,921.31 and 105,310.24 is: 157,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,951.59 : 494,921.31 = 105,310.24 : x
  2. Step 2: Convert to fraction form
    329,951.59/494,921.31 = 105,310.24/x
  3. Step 3: Cross multiply
    329,951.59x = 494,921.31 × 105,310.24
  4. Step 4: Simplify right side
    329,951.59x = 52,120,281,937.21
  5. Step 5: Solve for x
    x = 52,120,281,937.21/329,951.59
  6. Step 6: Final answer
    x = 157,963.42

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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.