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Finding the Fourth Proportional to 580,764.25, 871,179.18 and 206,787.25

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Solution

The fourth proportional to 580,764.25, 871,179.18 and 206,787.25 is: 310,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,764.25 : 871,179.18 = 206,787.25 : x
  2. Step 2: Convert to fraction form
    580,764.25/871,179.18 = 206,787.25/x
  3. Step 3: Cross multiply
    580,764.25x = 871,179.18 × 206,787.25
  4. Step 4: Simplify right side
    580,764.25x = 180,148,746,889.46
  5. Step 5: Solve for x
    x = 180,148,746,889.46/580,764.25
  6. Step 6: Final answer
    x = 310,192.56

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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.