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Finding the Fourth Proportional to 415,676.28, 573,584.55 and 234,377.42

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Solution

The fourth proportional to 415,676.28, 573,584.55 and 234,377.42 is: 323,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,676.28 : 573,584.55 = 234,377.42 : x
  2. Step 2: Convert to fraction form
    415,676.28/573,584.55 = 234,377.42/x
  3. Step 3: Cross multiply
    415,676.28x = 573,584.55 × 234,377.42
  4. Step 4: Simplify right side
    415,676.28x = 134,435,264,112.94
  5. Step 5: Solve for x
    x = 134,435,264,112.94/415,676.28
  6. Step 6: Final answer
    x = 323,413.36

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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.