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Finding the Fourth Proportional to 491,162.05, 677,843 and 276,289.30

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Solution

The fourth proportional to 491,162.05, 677,843 and 276,289.30 is: 381,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,162.05 : 677,843 = 276,289.30 : x
  2. Step 2: Convert to fraction form
    491,162.05/677,843 = 276,289.30/x
  3. Step 3: Cross multiply
    491,162.05x = 677,843 × 276,289.30
  4. Step 4: Simplify right side
    491,162.05x = 187,280,767,979.90
  5. Step 5: Solve for x
    x = 187,280,767,979.90/491,162.05
  6. Step 6: Final answer
    x = 381,301.38

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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.