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Finding the Fourth Proportional to 412,306.08, 617,081.08 and 234,765.44

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Solution

The fourth proportional to 412,306.08, 617,081.08 and 234,765.44 is: 351,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,306.08 : 617,081.08 = 234,765.44 : x
  2. Step 2: Convert to fraction form
    412,306.08/617,081.08 = 234,765.44/x
  3. Step 3: Cross multiply
    412,306.08x = 617,081.08 × 234,765.44
  4. Step 4: Simplify right side
    412,306.08x = 144,869,311,261.88
  5. Step 5: Solve for x
    x = 144,869,311,261.88/412,306.08
  6. Step 6: Final answer
    x = 351,363.51

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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.