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Finding the Fourth Proportional to 502,796.13, 693,858.68 and 276,441.63

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Solution

The fourth proportional to 502,796.13, 693,858.68 and 276,441.63 is: 381,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,796.13 : 693,858.68 = 276,441.63 : x
  2. Step 2: Convert to fraction form
    502,796.13/693,858.68 = 276,441.63/x
  3. Step 3: Cross multiply
    502,796.13x = 693,858.68 × 276,441.63
  4. Step 4: Simplify right side
    502,796.13x = 191,811,424,488.85
  5. Step 5: Solve for x
    x = 191,811,424,488.85/502,796.13
  6. Step 6: Final answer
    x = 381,489.46

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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.