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Finding the Fourth Proportional to 492,174.78, 738,262.20 and 159,750.78

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Solution

The fourth proportional to 492,174.78, 738,262.20 and 159,750.78 is: 239,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,174.78 : 738,262.20 = 159,750.78 : x
  2. Step 2: Convert to fraction form
    492,174.78/738,262.20 = 159,750.78/x
  3. Step 3: Cross multiply
    492,174.78x = 738,262.20 × 159,750.78
  4. Step 4: Simplify right side
    492,174.78x = 117,937,962,294.52
  5. Step 5: Solve for x
    x = 117,937,962,294.52/492,174.78
  6. Step 6: Final answer
    x = 239,626.18

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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.