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Finding the Fourth Proportional to 301,595.87, 415,971.68 and 204,874.31

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Solution

The fourth proportional to 301,595.87, 415,971.68 and 204,874.31 is: 282,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,595.87 : 415,971.68 = 204,874.31 : x
  2. Step 2: Convert to fraction form
    301,595.87/415,971.68 = 204,874.31/x
  3. Step 3: Cross multiply
    301,595.87x = 415,971.68 × 204,874.31
  4. Step 4: Simplify right side
    301,595.87x = 85,221,907,815.31
  5. Step 5: Solve for x
    x = 85,221,907,815.31/301,595.87
  6. Step 6: Final answer
    x = 282,569.88

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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.