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Finding the Fourth Proportional to 682,441.92, 942,071.82 and 440,842.26

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Solution

The fourth proportional to 682,441.92, 942,071.82 and 440,842.26 is: 608,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,441.92 : 942,071.82 = 440,842.26 : x
  2. Step 2: Convert to fraction form
    682,441.92/942,071.82 = 440,842.26/x
  3. Step 3: Cross multiply
    682,441.92x = 942,071.82 × 440,842.26
  4. Step 4: Simplify right side
    682,441.92x = 415,305,070,211.11
  5. Step 5: Solve for x
    x = 415,305,070,211.11/682,441.92
  6. Step 6: Final answer
    x = 608,557.38

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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.