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Finding the Fourth Proportional to 273,233.20, 409,412.40 and 173,214.40

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Solution

The fourth proportional to 273,233.20, 409,412.40 and 173,214.40 is: 259,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,233.20 : 409,412.40 = 173,214.40 : x
  2. Step 2: Convert to fraction form
    273,233.20/409,412.40 = 173,214.40/x
  3. Step 3: Cross multiply
    273,233.20x = 409,412.40 × 173,214.40
  4. Step 4: Simplify right side
    273,233.20x = 70,916,123,218.56
  5. Step 5: Solve for x
    x = 70,916,123,218.56/273,233.20
  6. Step 6: Final answer
    x = 259,544.31

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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.