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Finding the Fourth Proportional to 492,362.69, 738,668.46 and 137,376.50

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Solution

The fourth proportional to 492,362.69, 738,668.46 and 137,376.50 is: 206,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,362.69 : 738,668.46 = 137,376.50 : x
  2. Step 2: Convert to fraction form
    492,362.69/738,668.46 = 137,376.50/x
  3. Step 3: Cross multiply
    492,362.69x = 738,668.46 × 137,376.50
  4. Step 4: Simplify right side
    492,362.69x = 101,475,687,695.19
  5. Step 5: Solve for x
    x = 101,475,687,695.19/492,362.69
  6. Step 6: Final answer
    x = 206,099.47

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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.