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Finding the Fourth Proportional to 408,244.65, 563,396.85 and 226,959.61

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Solution

The fourth proportional to 408,244.65, 563,396.85 and 226,959.61 is: 313,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,244.65 : 563,396.85 = 226,959.61 : x
  2. Step 2: Convert to fraction form
    408,244.65/563,396.85 = 226,959.61/x
  3. Step 3: Cross multiply
    408,244.65x = 563,396.85 × 226,959.61
  4. Step 4: Simplify right side
    408,244.65x = 127,868,329,351.23
  5. Step 5: Solve for x
    x = 127,868,329,351.23/408,244.65
  6. Step 6: Final answer
    x = 313,214.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.