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Finding the Fourth Proportional to 301,575.42, 451,674.09 and 143,914.59

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Solution

The fourth proportional to 301,575.42, 451,674.09 and 143,914.59 is: 215,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,575.42 : 451,674.09 = 143,914.59 : x
  2. Step 2: Convert to fraction form
    301,575.42/451,674.09 = 143,914.59/x
  3. Step 3: Cross multiply
    301,575.42x = 451,674.09 × 143,914.59
  4. Step 4: Simplify right side
    301,575.42x = 65,002,491,475.97
  5. Step 5: Solve for x
    x = 65,002,491,475.97/301,575.42
  6. Step 6: Final answer
    x = 215,543.07

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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.