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Finding the Fourth Proportional to 384,048.30, 576,072.45 and 206,901.30

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Solution

The fourth proportional to 384,048.30, 576,072.45 and 206,901.30 is: 310,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048.30 : 576,072.45 = 206,901.30 : x
  2. Step 2: Convert to fraction form
    384,048.30/576,072.45 = 206,901.30/x
  3. Step 3: Cross multiply
    384,048.30x = 576,072.45 × 206,901.30
  4. Step 4: Simplify right side
    384,048.30x = 119,190,138,799.19
  5. Step 5: Solve for x
    x = 119,190,138,799.19/384,048.30
  6. Step 6: Final answer
    x = 310,351.95

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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.