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Finding the Fourth Proportional to 580,701.60, 871,311.60 and 206,992.80

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Solution

The fourth proportional to 580,701.60, 871,311.60 and 206,992.80 is: 310,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,701.60 : 871,311.60 = 206,992.80 : x
  2. Step 2: Convert to fraction form
    580,701.60/871,311.60 = 206,992.80/x
  3. Step 3: Cross multiply
    580,701.60x = 871,311.60 × 206,992.80
  4. Step 4: Simplify right side
    580,701.60x = 180,355,227,756.48
  5. Step 5: Solve for x
    x = 180,355,227,756.48/580,701.60
  6. Step 6: Final answer
    x = 310,581.59

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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.