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Finding the Fourth Proportional to 371,909.30, 513,481.99 and 285,714.76

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Solution

The fourth proportional to 371,909.30, 513,481.99 and 285,714.76 is: 394,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,909.30 : 513,481.99 = 285,714.76 : x
  2. Step 2: Convert to fraction form
    371,909.30/513,481.99 = 285,714.76/x
  3. Step 3: Cross multiply
    371,909.30x = 513,481.99 × 285,714.76
  4. Step 4: Simplify right side
    371,909.30x = 146,709,383,537.17
  5. Step 5: Solve for x
    x = 146,709,383,537.17/371,909.30
  6. Step 6: Final answer
    x = 394,476.24

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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.