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Finding the Fourth Proportional to 580,711.23, 871,064.96 and 154,289.70

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Solution

The fourth proportional to 580,711.23, 871,064.96 and 154,289.70 is: 231,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,711.23 : 871,064.96 = 154,289.70 : x
  2. Step 2: Convert to fraction form
    580,711.23/871,064.96 = 154,289.70/x
  3. Step 3: Cross multiply
    580,711.23x = 871,064.96 × 154,289.70
  4. Step 4: Simplify right side
    580,711.23x = 134,396,350,587.46
  5. Step 5: Solve for x
    x = 134,396,350,587.46/580,711.23
  6. Step 6: Final answer
    x = 231,434.05

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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.