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Finding the Fourth Proportional to 601,897.49, 902,583.75 and 227,658.05

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Solution

The fourth proportional to 601,897.49, 902,583.75 and 227,658.05 is: 341,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.49 : 902,583.75 = 227,658.05 : x
  2. Step 2: Convert to fraction form
    601,897.49/902,583.75 = 227,658.05/x
  3. Step 3: Cross multiply
    601,897.49x = 902,583.75 × 227,658.05
  4. Step 4: Simplify right side
    601,897.49x = 205,480,456,486.69
  5. Step 5: Solve for x
    x = 205,480,456,486.69/601,897.49
  6. Step 6: Final answer
    x = 341,387.79

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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.