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Finding the Fourth Proportional to 305,649.81, 458,499.29 and 116,200.80

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Solution

The fourth proportional to 305,649.81, 458,499.29 and 116,200.80 is: 174,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,649.81 : 458,499.29 = 116,200.80 : x
  2. Step 2: Convert to fraction form
    305,649.81/458,499.29 = 116,200.80/x
  3. Step 3: Cross multiply
    305,649.81x = 458,499.29 × 116,200.80
  4. Step 4: Simplify right side
    305,649.81x = 53,277,983,716.43
  5. Step 5: Solve for x
    x = 53,277,983,716.43/305,649.81
  6. Step 6: Final answer
    x = 174,310.54

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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.