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Finding the Fourth Proportional to 578,652.80, 868,022.40 and 204,627.20

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Solution

The fourth proportional to 578,652.80, 868,022.40 and 204,627.20 is: 306,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,652.80 : 868,022.40 = 204,627.20 : x
  2. Step 2: Convert to fraction form
    578,652.80/868,022.40 = 204,627.20/x
  3. Step 3: Cross multiply
    578,652.80x = 868,022.40 × 204,627.20
  4. Step 4: Simplify right side
    578,652.80x = 177,620,993,249.28
  5. Step 5: Solve for x
    x = 177,620,993,249.28/578,652.80
  6. Step 6: Final answer
    x = 306,956.08

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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.