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Finding the Fourth Proportional to 580,668, 871,056.96 and 225,709.44

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Solution

The fourth proportional to 580,668, 871,056.96 and 225,709.44 is: 338,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,668 : 871,056.96 = 225,709.44 : x
  2. Step 2: Convert to fraction form
    580,668/871,056.96 = 225,709.44/x
  3. Step 3: Cross multiply
    580,668x = 871,056.96 × 225,709.44
  4. Step 4: Simplify right side
    580,668x = 196,605,778,649.70
  5. Step 5: Solve for x
    x = 196,605,778,649.70/580,668
  6. Step 6: Final answer
    x = 338,585.52

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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.