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Finding the Fourth Proportional to 580,924.80, 871,124.76 and 206,957.52

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Solution

The fourth proportional to 580,924.80, 871,124.76 and 206,957.52 is: 310,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,924.80 : 871,124.76 = 206,957.52 : x
  2. Step 2: Convert to fraction form
    580,924.80/871,124.76 = 206,957.52/x
  3. Step 3: Cross multiply
    580,924.80x = 871,124.76 × 206,957.52
  4. Step 4: Simplify right side
    580,924.80x = 180,285,819,940.20
  5. Step 5: Solve for x
    x = 180,285,819,940.20/580,924.80
  6. Step 6: Final answer
    x = 310,342.78

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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.