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Finding the Fourth Proportional to 273,400.80, 410,408.40 and 211,346.40

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Solution

The fourth proportional to 273,400.80, 410,408.40 and 211,346.40 is: 317,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,400.80 : 410,408.40 = 211,346.40 : x
  2. Step 2: Convert to fraction form
    273,400.80/410,408.40 = 211,346.40/x
  3. Step 3: Cross multiply
    273,400.80x = 410,408.40 × 211,346.40
  4. Step 4: Simplify right side
    273,400.80x = 86,738,337,869.76
  5. Step 5: Solve for x
    x = 86,738,337,869.76/273,400.80
  6. Step 6: Final answer
    x = 317,257.07

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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.