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Finding the Fourth Proportional to 301,702.54, 416,542.89 and 269,381.38

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Solution

The fourth proportional to 301,702.54, 416,542.89 and 269,381.38 is: 371,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,702.54 : 416,542.89 = 269,381.38 : x
  2. Step 2: Convert to fraction form
    301,702.54/416,542.89 = 269,381.38/x
  3. Step 3: Cross multiply
    301,702.54x = 416,542.89 × 269,381.38
  4. Step 4: Simplify right side
    301,702.54x = 112,208,898,537.39
  5. Step 5: Solve for x
    x = 112,208,898,537.39/301,702.54
  6. Step 6: Final answer
    x = 371,918.97

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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.