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Finding the Fourth Proportional to 542,759.96, 749,098.43 and 301,120.39

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Solution

The fourth proportional to 542,759.96, 749,098.43 and 301,120.39 is: 415,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,759.96 : 749,098.43 = 301,120.39 : x
  2. Step 2: Convert to fraction form
    542,759.96/749,098.43 = 301,120.39/x
  3. Step 3: Cross multiply
    542,759.96x = 749,098.43 × 301,120.39
  4. Step 4: Simplify right side
    542,759.96x = 225,568,807,736.28
  5. Step 5: Solve for x
    x = 225,568,807,736.28/542,759.96
  6. Step 6: Final answer
    x = 415,595.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.