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Finding the Fourth Proportional to 557,596.41, 769,548.65 and 331,241.91

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Solution

The fourth proportional to 557,596.41, 769,548.65 and 331,241.91 is: 457,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,596.41 : 769,548.65 = 331,241.91 : x
  2. Step 2: Convert to fraction form
    557,596.41/769,548.65 = 331,241.91/x
  3. Step 3: Cross multiply
    557,596.41x = 769,548.65 × 331,241.91
  4. Step 4: Simplify right side
    557,596.41x = 254,906,761,985.14
  5. Step 5: Solve for x
    x = 254,906,761,985.14/557,596.41
  6. Step 6: Final answer
    x = 457,152.81

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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.