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Finding the Fourth Proportional to 300,314.73, 450,456.30 and 75,675

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Solution

The fourth proportional to 300,314.73, 450,456.30 and 75,675 is: 113,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,314.73 : 450,456.30 = 75,675 : x
  2. Step 2: Convert to fraction form
    300,314.73/450,456.30 = 75,675/x
  3. Step 3: Cross multiply
    300,314.73x = 450,456.30 × 75,675
  4. Step 4: Simplify right side
    300,314.73x = 34,088,280,502.50
  5. Step 5: Solve for x
    x = 34,088,280,502.50/300,314.73
  6. Step 6: Final answer
    x = 113,508.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.