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Finding the Fourth Proportional to 492,310.29, 738,399.83 and 137,294.58

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Solution

The fourth proportional to 492,310.29, 738,399.83 and 137,294.58 is: 205,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,310.29 : 738,399.83 = 137,294.58 : x
  2. Step 2: Convert to fraction form
    492,310.29/738,399.83 = 137,294.58/x
  3. Step 3: Cross multiply
    492,310.29x = 738,399.83 × 137,294.58
  4. Step 4: Simplify right side
    492,310.29x = 101,378,293,845.45
  5. Step 5: Solve for x
    x = 101,378,293,845.45/492,310.29
  6. Step 6: Final answer
    x = 205,923.57

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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.