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Finding the Fourth Proportional to 277,239.36, 416,092.32 and 259,743.36

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Solution

The fourth proportional to 277,239.36, 416,092.32 and 259,743.36 is: 389,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,239.36 : 416,092.32 = 259,743.36 : x
  2. Step 2: Convert to fraction form
    277,239.36/416,092.32 = 259,743.36/x
  3. Step 3: Cross multiply
    277,239.36x = 416,092.32 × 259,743.36
  4. Step 4: Simplify right side
    277,239.36x = 108,077,217,267.00
  5. Step 5: Solve for x
    x = 108,077,217,267.00/277,239.36
  6. Step 6: Final answer
    x = 389,833.60

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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.