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Finding the Fourth Proportional to 601,897.80, 902,584.22 and 227,658.36

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Solution

The fourth proportional to 601,897.80, 902,584.22 and 227,658.36 is: 341,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.80 : 902,584.22 = 227,658.36 : x
  2. Step 2: Convert to fraction form
    601,897.80/902,584.22 = 227,658.36/x
  3. Step 3: Cross multiply
    601,897.80x = 902,584.22 × 227,658.36
  4. Step 4: Simplify right side
    601,897.80x = 205,480,843,287.08
  5. Step 5: Solve for x
    x = 205,480,843,287.08/601,897.80
  6. Step 6: Final answer
    x = 341,388.26

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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.