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Finding the Fourth Proportional to 332,115.74, 458,329.83 and 188,896.40

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Solution

The fourth proportional to 332,115.74, 458,329.83 and 188,896.40 is: 260,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,115.74 : 458,329.83 = 188,896.40 : x
  2. Step 2: Convert to fraction form
    332,115.74/458,329.83 = 188,896.40/x
  3. Step 3: Cross multiply
    332,115.74x = 458,329.83 × 188,896.40
  4. Step 4: Simplify right side
    332,115.74x = 86,576,854,899.61
  5. Step 5: Solve for x
    x = 86,576,854,899.61/332,115.74
  6. Step 6: Final answer
    x = 260,682.78

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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.