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Finding the Fourth Proportional to 543,977.64, 816,119.55 and 189,027.54

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Solution

The fourth proportional to 543,977.64, 816,119.55 and 189,027.54 is: 283,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,977.64 : 816,119.55 = 189,027.54 : x
  2. Step 2: Convert to fraction form
    543,977.64/816,119.55 = 189,027.54/x
  3. Step 3: Cross multiply
    543,977.64x = 816,119.55 × 189,027.54
  4. Step 4: Simplify right side
    543,977.64x = 154,269,070,882.41
  5. Step 5: Solve for x
    x = 154,269,070,882.41/543,977.64
  6. Step 6: Final answer
    x = 283,594.51

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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.