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Finding the Fourth Proportional to 492,422.24, 738,050.16 and 225,958.16

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Solution

The fourth proportional to 492,422.24, 738,050.16 and 225,958.16 is: 338,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,422.24 : 738,050.16 = 225,958.16 : x
  2. Step 2: Convert to fraction form
    492,422.24/738,050.16 = 225,958.16/x
  3. Step 3: Cross multiply
    492,422.24x = 738,050.16 × 225,958.16
  4. Step 4: Simplify right side
    492,422.24x = 166,768,456,141.31
  5. Step 5: Solve for x
    x = 166,768,456,141.31/492,422.24
  6. Step 6: Final answer
    x = 338,669.63

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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.