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Finding the Fourth Proportional to 492,794.20, 738,644.55 and 193,175.20

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Solution

The fourth proportional to 492,794.20, 738,644.55 and 193,175.20 is: 289,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.20 : 738,644.55 = 193,175.20 : x
  2. Step 2: Convert to fraction form
    492,794.20/738,644.55 = 193,175.20/x
  3. Step 3: Cross multiply
    492,794.20x = 738,644.55 × 193,175.20
  4. Step 4: Simplify right side
    492,794.20x = 142,687,808,675.16
  5. Step 5: Solve for x
    x = 142,687,808,675.16/492,794.20
  6. Step 6: Final answer
    x = 289,548.47

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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.