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Finding the Fourth Proportional to 775,348, 1,163,022 and 206,731.04

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Solution

The fourth proportional to 775,348, 1,163,022 and 206,731.04 is: 310,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,348 : 1,163,022 = 206,731.04 : x
  2. Step 2: Convert to fraction form
    775,348/1,163,022 = 206,731.04/x
  3. Step 3: Cross multiply
    775,348x = 1,163,022 × 206,731.04
  4. Step 4: Simplify right side
    775,348x = 240,432,747,602.88
  5. Step 5: Solve for x
    x = 240,432,747,602.88/775,348
  6. Step 6: Final answer
    x = 310,096.56

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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.