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Finding the Fourth Proportional to 329,374.20, 494,082.90 and 92,724.60

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Solution

The fourth proportional to 329,374.20, 494,082.90 and 92,724.60 is: 139,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,374.20 : 494,082.90 = 92,724.60 : x
  2. Step 2: Convert to fraction form
    329,374.20/494,082.90 = 92,724.60/x
  3. Step 3: Cross multiply
    329,374.20x = 494,082.90 × 92,724.60
  4. Step 4: Simplify right side
    329,374.20x = 45,813,639,269.34
  5. Step 5: Solve for x
    x = 45,813,639,269.34/329,374.20
  6. Step 6: Final answer
    x = 139,092.98

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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.