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Finding the Fourth Proportional to 492,777.20, 738,949.80 and 226,449.20

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Solution

The fourth proportional to 492,777.20, 738,949.80 and 226,449.20 is: 339,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,777.20 : 738,949.80 = 226,449.20 : x
  2. Step 2: Convert to fraction form
    492,777.20/738,949.80 = 226,449.20/x
  3. Step 3: Cross multiply
    492,777.20x = 738,949.80 × 226,449.20
  4. Step 4: Simplify right side
    492,777.20x = 167,334,591,050.16
  5. Step 5: Solve for x
    x = 167,334,591,050.16/492,777.20
  6. Step 6: Final answer
    x = 339,574.54

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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.