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Finding the Fourth Proportional to 685,225.33, 945,969.11 and 427,180.93

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Solution

The fourth proportional to 685,225.33, 945,969.11 and 427,180.93 is: 589,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,225.33 : 945,969.11 = 427,180.93 : x
  2. Step 2: Convert to fraction form
    685,225.33/945,969.11 = 427,180.93/x
  3. Step 3: Cross multiply
    685,225.33x = 945,969.11 × 427,180.93
  4. Step 4: Simplify right side
    685,225.33x = 404,099,964,161.07
  5. Step 5: Solve for x
    x = 404,099,964,161.07/685,225.33
  6. Step 6: Final answer
    x = 589,732.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.