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Finding the Fourth Proportional to 498,222.27, 687,309.90 and 294,136.46

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Solution

The fourth proportional to 498,222.27, 687,309.90 and 294,136.46 is: 405,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,222.27 : 687,309.90 = 294,136.46 : x
  2. Step 2: Convert to fraction form
    498,222.27/687,309.90 = 294,136.46/x
  3. Step 3: Cross multiply
    498,222.27x = 687,309.90 × 294,136.46
  4. Step 4: Simplify right side
    498,222.27x = 202,162,902,627.23
  5. Step 5: Solve for x
    x = 202,162,902,627.23/498,222.27
  6. Step 6: Final answer
    x = 405,768.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.