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Finding the Fourth Proportional to 274,835.88, 414,125.87 and 226,009.64

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Solution

The fourth proportional to 274,835.88, 414,125.87 and 226,009.64 is: 340,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,835.88 : 414,125.87 = 226,009.64 : x
  2. Step 2: Convert to fraction form
    274,835.88/414,125.87 = 226,009.64/x
  3. Step 3: Cross multiply
    274,835.88x = 414,125.87 × 226,009.64
  4. Step 4: Simplify right side
    274,835.88x = 93,596,438,793.39
  5. Step 5: Solve for x
    x = 93,596,438,793.39/274,835.88
  6. Step 6: Final answer
    x = 340,553.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.