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Finding the Fourth Proportional to 511,910.13, 706,469 and 294,188.82

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Solution

The fourth proportional to 511,910.13, 706,469 and 294,188.82 is: 405,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.13 : 706,469 = 294,188.82 : x
  2. Step 2: Convert to fraction form
    511,910.13/706,469 = 294,188.82/x
  3. Step 3: Cross multiply
    511,910.13x = 706,469 × 294,188.82
  4. Step 4: Simplify right side
    511,910.13x = 207,835,281,476.58
  5. Step 5: Solve for x
    x = 207,835,281,476.58/511,910.13
  6. Step 6: Final answer
    x = 405,999.55

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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.