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Finding the Fourth Proportional to 394,486.92, 591,829.74 and 114,002.28

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Solution

The fourth proportional to 394,486.92, 591,829.74 and 114,002.28 is: 171,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,486.92 : 591,829.74 = 114,002.28 : x
  2. Step 2: Convert to fraction form
    394,486.92/591,829.74 = 114,002.28/x
  3. Step 3: Cross multiply
    394,486.92x = 591,829.74 × 114,002.28
  4. Step 4: Simplify right side
    394,486.92x = 67,469,939,731.81
  5. Step 5: Solve for x
    x = 67,469,939,731.81/394,486.92
  6. Step 6: Final answer
    x = 171,032.13

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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.