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Finding the Fourth Proportional to 465,208.33, 698,086.72 and 195,383.81

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Solution

The fourth proportional to 465,208.33, 698,086.72 and 195,383.81 is: 293,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,208.33 : 698,086.72 = 195,383.81 : x
  2. Step 2: Convert to fraction form
    465,208.33/698,086.72 = 195,383.81/x
  3. Step 3: Cross multiply
    465,208.33x = 698,086.72 × 195,383.81
  4. Step 4: Simplify right side
    465,208.33x = 136,394,843,064.00
  5. Step 5: Solve for x
    x = 136,394,843,064.00/465,208.33
  6. Step 6: Final answer
    x = 293,190.89

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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.