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Finding the Fourth Proportional to 580,670, 871,059.96 and 225,711.44

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Solution

The fourth proportional to 580,670, 871,059.96 and 225,711.44 is: 338,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,670 : 871,059.96 = 225,711.44 : x
  2. Step 2: Convert to fraction form
    580,670/871,059.96 = 225,711.44/x
  3. Step 3: Cross multiply
    580,670x = 871,059.96 × 225,711.44
  4. Step 4: Simplify right side
    580,670x = 196,608,197,897.94
  5. Step 5: Solve for x
    x = 196,608,197,897.94/580,670
  6. Step 6: Final answer
    x = 338,588.52

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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.