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Finding the Fourth Proportional to 601,897.94, 902,584.44 and 227,658.50

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Solution

The fourth proportional to 601,897.94, 902,584.44 and 227,658.50 is: 341,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.94 : 902,584.44 = 227,658.50 : x
  2. Step 2: Convert to fraction form
    601,897.94/902,584.44 = 227,658.50/x
  3. Step 3: Cross multiply
    601,897.94x = 902,584.44 × 227,658.50
  4. Step 4: Simplify right side
    601,897.94x = 205,481,021,990.20
  5. Step 5: Solve for x
    x = 205,481,021,990.20/601,897.94
  6. Step 6: Final answer
    x = 341,388.48

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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.