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Finding the Fourth Proportional to 408,051.54, 563,124.80 and 226,771.11

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Solution

The fourth proportional to 408,051.54, 563,124.80 and 226,771.11 is: 312,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.54 : 563,124.80 = 226,771.11 : x
  2. Step 2: Convert to fraction form
    408,051.54/563,124.80 = 226,771.11/x
  3. Step 3: Cross multiply
    408,051.54x = 563,124.80 × 226,771.11
  4. Step 4: Simplify right side
    408,051.54x = 127,700,435,964.53
  5. Step 5: Solve for x
    x = 127,700,435,964.53/408,051.54
  6. Step 6: Final answer
    x = 312,951.73

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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.