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Finding the Fourth Proportional to 354,451.40, 531,744.38 and 114,629.80

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Solution

The fourth proportional to 354,451.40, 531,744.38 and 114,629.80 is: 171,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,451.40 : 531,744.38 = 114,629.80 : x
  2. Step 2: Convert to fraction form
    354,451.40/531,744.38 = 114,629.80/x
  3. Step 3: Cross multiply
    354,451.40x = 531,744.38 × 114,629.80
  4. Step 4: Simplify right side
    354,451.40x = 60,953,751,930.52
  5. Step 5: Solve for x
    x = 60,953,751,930.52/354,451.40
  6. Step 6: Final answer
    x = 171,966.46

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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.