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Finding the Fourth Proportional to 350,471.89, 483,812.67 and 205,257.49

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Solution

The fourth proportional to 350,471.89, 483,812.67 and 205,257.49 is: 283,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471.89 : 483,812.67 = 205,257.49 : x
  2. Step 2: Convert to fraction form
    350,471.89/483,812.67 = 205,257.49/x
  3. Step 3: Cross multiply
    350,471.89x = 483,812.67 × 205,257.49
  4. Step 4: Simplify right side
    350,471.89x = 99,306,174,274.40
  5. Step 5: Solve for x
    x = 99,306,174,274.40/350,471.89
  6. Step 6: Final answer
    x = 283,349.90

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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.