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Finding the Fourth Proportional to 492,793.20, 738,643.05 and 193,174.20

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Solution

The fourth proportional to 492,793.20, 738,643.05 and 193,174.20 is: 289,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,793.20 : 738,643.05 = 193,174.20 : x
  2. Step 2: Convert to fraction form
    492,793.20/738,643.05 = 193,174.20/x
  3. Step 3: Cross multiply
    492,793.20x = 738,643.05 × 193,174.20
  4. Step 4: Simplify right side
    492,793.20x = 142,686,780,269.31
  5. Step 5: Solve for x
    x = 142,686,780,269.31/492,793.20
  6. Step 6: Final answer
    x = 289,546.97

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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.