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Finding the Fourth Proportional to 601,898.30, 902,584.97 and 227,658.86

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Solution

The fourth proportional to 601,898.30, 902,584.97 and 227,658.86 is: 341,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,898.30 : 902,584.97 = 227,658.86 : x
  2. Step 2: Convert to fraction form
    601,898.30/902,584.97 = 227,658.86/x
  3. Step 3: Cross multiply
    601,898.30x = 902,584.97 × 227,658.86
  4. Step 4: Simplify right side
    601,898.30x = 205,481,465,323.33
  5. Step 5: Solve for x
    x = 205,481,465,323.33/601,898.30
  6. Step 6: Final answer
    x = 341,389.01

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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.