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Finding the Fourth Proportional to 412,010.20, 617,774.70 and 175,231

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Solution

The fourth proportional to 412,010.20, 617,774.70 and 175,231 is: 262,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,010.20 : 617,774.70 = 175,231 : x
  2. Step 2: Convert to fraction form
    412,010.20/617,774.70 = 175,231/x
  3. Step 3: Cross multiply
    412,010.20x = 617,774.70 × 175,231
  4. Step 4: Simplify right side
    412,010.20x = 108,253,278,455.70
  5. Step 5: Solve for x
    x = 108,253,278,455.70/412,010.20
  6. Step 6: Final answer
    x = 262,744.17

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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.