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Finding the Fourth Proportional to 494,644.38, 742,026 and 174,730.56

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Solution

The fourth proportional to 494,644.38, 742,026 and 174,730.56 is: 262,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,644.38 : 742,026 = 174,730.56 : x
  2. Step 2: Convert to fraction form
    494,644.38/742,026 = 174,730.56/x
  3. Step 3: Cross multiply
    494,644.38x = 742,026 × 174,730.56
  4. Step 4: Simplify right side
    494,644.38x = 129,654,618,514.56
  5. Step 5: Solve for x
    x = 129,654,618,514.56/494,644.38
  6. Step 6: Final answer
    x = 262,116.83

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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.