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Finding the Fourth Proportional to 460,137.74, 690,299.92 and 193,898.12

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Solution

The fourth proportional to 460,137.74, 690,299.92 and 193,898.12 is: 290,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,137.74 : 690,299.92 = 193,898.12 : x
  2. Step 2: Convert to fraction form
    460,137.74/690,299.92 = 193,898.12/x
  3. Step 3: Cross multiply
    460,137.74x = 690,299.92 × 193,898.12
  4. Step 4: Simplify right side
    460,137.74x = 133,847,856,724.15
  5. Step 5: Solve for x
    x = 133,847,856,724.15/460,137.74
  6. Step 6: Final answer
    x = 290,886.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.