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Finding the Fourth Proportional to 502,796.56, 693,871.50 and 276,442.06

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Solution

The fourth proportional to 502,796.56, 693,871.50 and 276,442.06 is: 381,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,796.56 : 693,871.50 = 276,442.06 : x
  2. Step 2: Convert to fraction form
    502,796.56/693,871.50 = 276,442.06/x
  3. Step 3: Cross multiply
    502,796.56x = 693,871.50 × 276,442.06
  4. Step 4: Simplify right side
    502,796.56x = 191,815,266,835.29
  5. Step 5: Solve for x
    x = 191,815,266,835.29/502,796.56
  6. Step 6: Final answer
    x = 381,496.78

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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.