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Finding the Fourth Proportional to 580,018.54, 869,912.04 and 195,729.84

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Solution

The fourth proportional to 580,018.54, 869,912.04 and 195,729.84 is: 293,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,018.54 : 869,912.04 = 195,729.84 : x
  2. Step 2: Convert to fraction form
    580,018.54/869,912.04 = 195,729.84/x
  3. Step 3: Cross multiply
    580,018.54x = 869,912.04 × 195,729.84
  4. Step 4: Simplify right side
    580,018.54x = 170,267,744,403.27
  5. Step 5: Solve for x
    x = 170,267,744,403.27/580,018.54
  6. Step 6: Final answer
    x = 293,555.69

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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.