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Finding the Fourth Proportional to 465,758.56, 642,750.36 and 259,029.85

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Solution

The fourth proportional to 465,758.56, 642,750.36 and 259,029.85 is: 357,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,758.56 : 642,750.36 = 259,029.85 : x
  2. Step 2: Convert to fraction form
    465,758.56/642,750.36 = 259,029.85/x
  3. Step 3: Cross multiply
    465,758.56x = 642,750.36 × 259,029.85
  4. Step 4: Simplify right side
    465,758.56x = 166,491,530,150.73
  5. Step 5: Solve for x
    x = 166,491,530,150.73/465,758.56
  6. Step 6: Final answer
    x = 357,463.17

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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.