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Finding the Fourth Proportional to 468,927.38, 647,046.68 and 277,909.94

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Solution

The fourth proportional to 468,927.38, 647,046.68 and 277,909.94 is: 383,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,927.38 : 647,046.68 = 277,909.94 : x
  2. Step 2: Convert to fraction form
    468,927.38/647,046.68 = 277,909.94/x
  3. Step 3: Cross multiply
    468,927.38x = 647,046.68 × 277,909.94
  4. Step 4: Simplify right side
    468,927.38x = 179,820,704,016.00
  5. Step 5: Solve for x
    x = 179,820,704,016.00/468,927.38
  6. Step 6: Final answer
    x = 383,472.39

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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.