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Finding the Fourth Proportional to 400,174.34, 600,217.26 and 100,655.04

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Solution

The fourth proportional to 400,174.34, 600,217.26 and 100,655.04 is: 150,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,174.34 : 600,217.26 = 100,655.04 : x
  2. Step 2: Convert to fraction form
    400,174.34/600,217.26 = 100,655.04/x
  3. Step 3: Cross multiply
    400,174.34x = 600,217.26 × 100,655.04
  4. Step 4: Simplify right side
    400,174.34x = 60,414,892,313.99
  5. Step 5: Solve for x
    x = 60,414,892,313.99/400,174.34
  6. Step 6: Final answer
    x = 150,971.43

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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.