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Finding the Fourth Proportional to 491,440.52, 678,209.73 and 276,594.50

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Solution

The fourth proportional to 491,440.52, 678,209.73 and 276,594.50 is: 381,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,440.52 : 678,209.73 = 276,594.50 : x
  2. Step 2: Convert to fraction form
    491,440.52/678,209.73 = 276,594.50/x
  3. Step 3: Cross multiply
    491,440.52x = 678,209.73 × 276,594.50
  4. Step 4: Simplify right side
    491,440.52x = 187,589,080,341.62
  5. Step 5: Solve for x
    x = 187,589,080,341.62/491,440.52
  6. Step 6: Final answer
    x = 381,712.69

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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.