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Finding the Fourth Proportional to 580,896.80, 871,388.40 and 206,871.20

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Solution

The fourth proportional to 580,896.80, 871,388.40 and 206,871.20 is: 310,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,896.80 : 871,388.40 = 206,871.20 : x
  2. Step 2: Convert to fraction form
    580,896.80/871,388.40 = 206,871.20/x
  3. Step 3: Cross multiply
    580,896.80x = 871,388.40 × 206,871.20
  4. Step 4: Simplify right side
    580,896.80x = 180,265,163,974.08
  5. Step 5: Solve for x
    x = 180,265,163,974.08/580,896.80
  6. Step 6: Final answer
    x = 310,322.18

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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.