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Finding the Fourth Proportional to 357,999.27, 494,114.49 and 227,092.47

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Solution

The fourth proportional to 357,999.27, 494,114.49 and 227,092.47 is: 313,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,999.27 : 494,114.49 = 227,092.47 : x
  2. Step 2: Convert to fraction form
    357,999.27/494,114.49 = 227,092.47/x
  3. Step 3: Cross multiply
    357,999.27x = 494,114.49 × 227,092.47
  4. Step 4: Simplify right side
    357,999.27x = 112,209,679,996.89
  5. Step 5: Solve for x
    x = 112,209,679,996.89/357,999.27
  6. Step 6: Final answer
    x = 313,435.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.