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Finding the Fourth Proportional to 468,910.38, 647,023.23 and 277,892.94

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Solution

The fourth proportional to 468,910.38, 647,023.23 and 277,892.94 is: 383,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,910.38 : 647,023.23 = 277,892.94 : x
  2. Step 2: Convert to fraction form
    468,910.38/647,023.23 = 277,892.94/x
  3. Step 3: Cross multiply
    468,910.38x = 647,023.23 × 277,892.94
  4. Step 4: Simplify right side
    468,910.38x = 179,803,187,633.00
  5. Step 5: Solve for x
    x = 179,803,187,633.00/468,910.38
  6. Step 6: Final answer
    x = 383,448.94

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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.