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Finding the Fourth Proportional to 408,034.41, 563,051.64 and 226,734.85

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Solution

The fourth proportional to 408,034.41, 563,051.64 and 226,734.85 is: 312,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,034.41 : 563,051.64 = 226,734.85 : x
  2. Step 2: Convert to fraction form
    408,034.41/563,051.64 = 226,734.85/x
  3. Step 3: Cross multiply
    408,034.41x = 563,051.64 × 226,734.85
  4. Step 4: Simplify right side
    408,034.41x = 127,663,429,137.65
  5. Step 5: Solve for x
    x = 127,663,429,137.65/408,034.41
  6. Step 6: Final answer
    x = 312,874.17

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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.