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Finding the Fourth Proportional to 492,310.92, 738,472.24 and 137,303.34

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Solution

The fourth proportional to 492,310.92, 738,472.24 and 137,303.34 is: 205,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,310.92 : 738,472.24 = 137,303.34 : x
  2. Step 2: Convert to fraction form
    492,310.92/738,472.24 = 137,303.34/x
  3. Step 3: Cross multiply
    492,310.92x = 738,472.24 × 137,303.34
  4. Step 4: Simplify right side
    492,310.92x = 101,394,705,049.28
  5. Step 5: Solve for x
    x = 101,394,705,049.28/492,310.92
  6. Step 6: Final answer
    x = 205,956.64

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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.