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Finding the Fourth Proportional to 394,593.52, 591,907.56 and 114,139.12

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Solution

The fourth proportional to 394,593.52, 591,907.56 and 114,139.12 is: 171,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,593.52 : 591,907.56 = 114,139.12 : x
  2. Step 2: Convert to fraction form
    394,593.52/591,907.56 = 114,139.12/x
  3. Step 3: Cross multiply
    394,593.52x = 591,907.56 × 114,139.12
  4. Step 4: Simplify right side
    394,593.52x = 67,559,808,019.75
  5. Step 5: Solve for x
    x = 67,559,808,019.75/394,593.52
  6. Step 6: Final answer
    x = 171,213.68

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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.