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Finding the Fourth Proportional to 415,676.57, 573,584.92 and 234,377.70

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Solution

The fourth proportional to 415,676.57, 573,584.92 and 234,377.70 is: 323,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,676.57 : 573,584.92 = 234,377.70 : x
  2. Step 2: Convert to fraction form
    415,676.57/573,584.92 = 234,377.70/x
  3. Step 3: Cross multiply
    415,676.57x = 573,584.92 × 234,377.70
  4. Step 4: Simplify right side
    415,676.57x = 134,435,510,264.47
  5. Step 5: Solve for x
    x = 134,435,510,264.47/415,676.57
  6. Step 6: Final answer
    x = 323,413.73

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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.