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Finding the Fourth Proportional to 274,399.68, 412,288.32 and 174,603.20

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Solution

The fourth proportional to 274,399.68, 412,288.32 and 174,603.20 is: 262,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,399.68 : 412,288.32 = 174,603.20 : x
  2. Step 2: Convert to fraction form
    274,399.68/412,288.32 = 174,603.20/x
  3. Step 3: Cross multiply
    274,399.68x = 412,288.32 × 174,603.20
  4. Step 4: Simplify right side
    274,399.68x = 71,986,859,994.62
  5. Step 5: Solve for x
    x = 71,986,859,994.62/274,399.68
  6. Step 6: Final answer
    x = 262,343.09

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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.