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Finding the Fourth Proportional to 580,763.25, 871,177.68 and 206,786.25

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Solution

The fourth proportional to 580,763.25, 871,177.68 and 206,786.25 is: 310,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,763.25 : 871,177.68 = 206,786.25 : x
  2. Step 2: Convert to fraction form
    580,763.25/871,177.68 = 206,786.25/x
  3. Step 3: Cross multiply
    580,763.25x = 871,177.68 × 206,786.25
  4. Step 4: Simplify right side
    580,763.25x = 180,147,565,530.90
  5. Step 5: Solve for x
    x = 180,147,565,530.90/580,763.25
  6. Step 6: Final answer
    x = 310,191.06

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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.