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Finding the Fourth Proportional to 418,311.38, 577,269.21 and 227,324.34

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Solution

The fourth proportional to 418,311.38, 577,269.21 and 227,324.34 is: 313,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,311.38 : 577,269.21 = 227,324.34 : x
  2. Step 2: Convert to fraction form
    418,311.38/577,269.21 = 227,324.34/x
  3. Step 3: Cross multiply
    418,311.38x = 577,269.21 × 227,324.34
  4. Step 4: Simplify right side
    418,311.38x = 131,227,342,165.57
  5. Step 5: Solve for x
    x = 131,227,342,165.57/418,311.38
  6. Step 6: Final answer
    x = 313,707.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.