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Finding the Fourth Proportional to 286,099.34, 394,791.01 and 169,792.75

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Solution

The fourth proportional to 286,099.34, 394,791.01 and 169,792.75 is: 234,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.34 : 394,791.01 = 169,792.75 : x
  2. Step 2: Convert to fraction form
    286,099.34/394,791.01 = 169,792.75/x
  3. Step 3: Cross multiply
    286,099.34x = 394,791.01 × 169,792.75
  4. Step 4: Simplify right side
    286,099.34x = 67,032,649,851.72
  5. Step 5: Solve for x
    x = 67,032,649,851.72/286,099.34
  6. Step 6: Final answer
    x = 234,298.51

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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.