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Finding the Fourth Proportional to 468,926.38, 647,045.31 and 277,908.94

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Solution

The fourth proportional to 468,926.38, 647,045.31 and 277,908.94 is: 383,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,926.38 : 647,045.31 = 277,908.94 : x
  2. Step 2: Convert to fraction form
    468,926.38/647,045.31 = 277,908.94/x
  3. Step 3: Cross multiply
    468,926.38x = 647,045.31 × 277,908.94
  4. Step 4: Simplify right side
    468,926.38x = 179,819,676,234.07
  5. Step 5: Solve for x
    x = 179,819,676,234.07/468,926.38
  6. Step 6: Final answer
    x = 383,471.02

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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.