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Finding the Fourth Proportional to 329,952.59, 494,922.81 and 105,311.24

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Solution

The fourth proportional to 329,952.59, 494,922.81 and 105,311.24 is: 157,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,952.59 : 494,922.81 = 105,311.24 : x
  2. Step 2: Convert to fraction form
    329,952.59/494,922.81 = 105,311.24/x
  3. Step 3: Cross multiply
    329,952.59x = 494,922.81 × 105,311.24
  4. Step 4: Simplify right side
    329,952.59x = 52,120,934,825.38
  5. Step 5: Solve for x
    x = 52,120,934,825.38/329,952.59
  6. Step 6: Final answer
    x = 157,964.92

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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.