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Finding the Fourth Proportional to 397,992.50, 596,993.34 and 170,257.14

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Solution

The fourth proportional to 397,992.50, 596,993.34 and 170,257.14 is: 255,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,992.50 : 596,993.34 = 170,257.14 : x
  2. Step 2: Convert to fraction form
    397,992.50/596,993.34 = 170,257.14/x
  3. Step 3: Cross multiply
    397,992.50x = 596,993.34 × 170,257.14
  4. Step 4: Simplify right side
    397,992.50x = 101,642,378,667.45
  5. Step 5: Solve for x
    x = 101,642,378,667.45/397,992.50
  6. Step 6: Final answer
    x = 255,387.68

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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.