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Finding the Fourth Proportional to 384,022.80, 576,471.60 and 226,340.10

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Solution

The fourth proportional to 384,022.80, 576,471.60 and 226,340.10 is: 339,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022.80 : 576,471.60 = 226,340.10 : x
  2. Step 2: Convert to fraction form
    384,022.80/576,471.60 = 226,340.10/x
  3. Step 3: Cross multiply
    384,022.80x = 576,471.60 × 226,340.10
  4. Step 4: Simplify right side
    384,022.80x = 130,478,639,591.16
  5. Step 5: Solve for x
    x = 130,478,639,591.16/384,022.80
  6. Step 6: Final answer
    x = 339,767.95

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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.