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Finding the Fourth Proportional to 492,365.40, 738,777.74 and 192,768.27

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Solution

The fourth proportional to 492,365.40, 738,777.74 and 192,768.27 is: 289,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,365.40 : 738,777.74 = 192,768.27 : x
  2. Step 2: Convert to fraction form
    492,365.40/738,777.74 = 192,768.27/x
  3. Step 3: Cross multiply
    492,365.40x = 738,777.74 × 192,768.27
  4. Step 4: Simplify right side
    492,365.40x = 142,412,905,890.47
  5. Step 5: Solve for x
    x = 142,412,905,890.47/492,365.40
  6. Step 6: Final answer
    x = 289,242.31

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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.