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Finding the Fourth Proportional to 785,257.48, 1,178,236.14 and 411,193

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Solution

The fourth proportional to 785,257.48, 1,178,236.14 and 411,193 is: 616,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,257.48 : 1,178,236.14 = 411,193 : x
  2. Step 2: Convert to fraction form
    785,257.48/1,178,236.14 = 411,193/x
  3. Step 3: Cross multiply
    785,257.48x = 1,178,236.14 × 411,193
  4. Step 4: Simplify right side
    785,257.48x = 484,482,453,115.02
  5. Step 5: Solve for x
    x = 484,482,453,115.02/785,257.48
  6. Step 6: Final answer
    x = 616,972.73

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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.