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Finding the Fourth Proportional to 301,588.36, 415,961.33 and 204,866.79

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Solution

The fourth proportional to 301,588.36, 415,961.33 and 204,866.79 is: 282,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,588.36 : 415,961.33 = 204,866.79 : x
  2. Step 2: Convert to fraction form
    301,588.36/415,961.33 = 204,866.79/x
  3. Step 3: Cross multiply
    301,588.36x = 415,961.33 × 204,866.79
  4. Step 4: Simplify right side
    301,588.36x = 85,216,663,366.72
  5. Step 5: Solve for x
    x = 85,216,663,366.72/301,588.36
  6. Step 6: Final answer
    x = 282,559.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.