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Finding the Fourth Proportional to 557,464.56, 769,408.92 and 363,535.56

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Solution

The fourth proportional to 557,464.56, 769,408.92 and 363,535.56 is: 501,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,464.56 : 769,408.92 = 363,535.56 : x
  2. Step 2: Convert to fraction form
    557,464.56/769,408.92 = 363,535.56/x
  3. Step 3: Cross multiply
    557,464.56x = 769,408.92 × 363,535.56
  4. Step 4: Simplify right side
    557,464.56x = 279,707,502,601.20
  5. Step 5: Solve for x
    x = 279,707,502,601.20/557,464.56
  6. Step 6: Final answer
    x = 501,749.39

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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.