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Finding the Fourth Proportional to 348,644.86, 481,051.61 and 205,418.23

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Solution

The fourth proportional to 348,644.86, 481,051.61 and 205,418.23 is: 283,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,644.86 : 481,051.61 = 205,418.23 : x
  2. Step 2: Convert to fraction form
    348,644.86/481,051.61 = 205,418.23/x
  3. Step 3: Cross multiply
    348,644.86x = 481,051.61 × 205,418.23
  4. Step 4: Simplify right side
    348,644.86x = 98,816,768,805.45
  5. Step 5: Solve for x
    x = 98,816,768,805.45/348,644.86
  6. Step 6: Final answer
    x = 283,431.02

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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.