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Finding the Fourth Proportional to 339,743.49, 468,807.92 and 203,782.96

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Solution

The fourth proportional to 339,743.49, 468,807.92 and 203,782.96 is: 281,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,743.49 : 468,807.92 = 203,782.96 : x
  2. Step 2: Convert to fraction form
    339,743.49/468,807.92 = 203,782.96/x
  3. Step 3: Cross multiply
    339,743.49x = 468,807.92 × 203,782.96
  4. Step 4: Simplify right side
    339,743.49x = 95,535,064,590.13
  5. Step 5: Solve for x
    x = 95,535,064,590.13/339,743.49
  6. Step 6: Final answer
    x = 281,197.64

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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.