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Finding the Fourth Proportional to 412,306.58, 617,081.83 and 234,765.94

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Solution

The fourth proportional to 412,306.58, 617,081.83 and 234,765.94 is: 351,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,306.58 : 617,081.83 = 234,765.94 : x
  2. Step 2: Convert to fraction form
    412,306.58/617,081.83 = 234,765.94/x
  3. Step 3: Cross multiply
    412,306.58x = 617,081.83 × 234,765.94
  4. Step 4: Simplify right side
    412,306.58x = 144,869,795,876.87
  5. Step 5: Solve for x
    x = 144,869,795,876.87/412,306.58
  6. Step 6: Final answer
    x = 351,364.26

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Why These Related Problems?

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