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Finding the Fourth Proportional to 419,805.72, 579,347.55 and 238,548.42

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Solution

The fourth proportional to 419,805.72, 579,347.55 and 238,548.42 is: 329,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,805.72 : 579,347.55 = 238,548.42 : x
  2. Step 2: Convert to fraction form
    419,805.72/579,347.55 = 238,548.42/x
  3. Step 3: Cross multiply
    419,805.72x = 579,347.55 × 238,548.42
  4. Step 4: Simplify right side
    419,805.72x = 138,202,442,683.37
  5. Step 5: Solve for x
    x = 138,202,442,683.37/419,805.72
  6. Step 6: Final answer
    x = 329,205.72

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